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We present measurements of branching fractions and charge asymmetries for the decays $B\ensuremath{\rightarrow}\ensuremath{\eta}{K}^{*}$, where ${K}^{*}$ indicates a spin 0, 1, or 2 $K\ensuremath{\pi}$ system. The data sample corresponds to $344\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs collected with the BABAR detector at the PEP-II asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}$ collider at SLAC. We measure the branching fractions …