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We study whether the broad enhancement X(1576) arises from the final state interaction (FSI) of ρ(1450, 1700) →ρ+ρ- → K+K- decays. Both the absorptive and dispersive contributions of the above amplitudes are considered since the intermediate states are very close to ρ(1450, 1700). The same mechanism leads to a similar enhancement around 1580MeV in the π+π- spectrum in the J/ψ→π0π+π- channel, which can be used to test whether X(1576) can be ascribed to the FSI effect of ρ(1450, 1700) →ρ+ρ-.