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We report searches for B-meson decays to the charmless final states ρK∗ and f0(980)K∗ with a sample of 232×106 B¯¯¯B pairs collected with the BABAR detector at the PEP-II e+e− collider. We measure in units of 10−6 the following branching fractions, where the first error quoted is statistical and the …