Open the cyclic ester at its acyl–oxygen bond. The resulting delta-hydroxy acid is
Oxidation-state reversal at the benzylic alcohol gives . This identifies the key Michael disconnection between the central and groups:
The nucleophile is the enolate or enamine of the phenyl ketone. The electrophile's propyl substituent must be alpha to its ester carbonyl; using a beta-propyl acrylate would move the substituent to the wrong ring position.
Disconnect further to the indicated acetophenone. Crossed aldol addition to acetone followed by dehydration gives ; selective conjugate reduction or controlled alkene hydrogenation then gives . This avoids requiring an efficient SN2 alkylation with a secondary isopropyl halide. The alpha-propyl acrylate can be obtained by alpha-hydroxymethylation/dehydration of ethyl pentanoate, , using formaldehyde.
In the forward direction, perform the Michael coupling, reduce the phenyl ketone selectively with sodium borohydride while retaining the ordinary ester, hydrolyse the ester, and cyclize the delta-hydroxy acid by controlled acid-catalysed lactonization or an activated-acid coupling. The six-membered ring then has the order carbonyl–––––O. This atom order checks all three substituent positions. No relative configuration is specified, so the scheme does not imply a single diastereomer from the Michael addition or reduction.
Figure 1.
Original lactone-opening and Michael disconnections, with propyl and isopropyl positions tracked separately
. Details.

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