Measurements of the Branching Fractions of B-0 ->(Kk+K-)-K-*0, B-0 -> K-*0 Pi K-+(-), B-0 ->(Kk+)-K-*0 Pi(-), and B-0 -> K-*0 Pi(+)Pi(-)

Branching fraction measurements of charmless B-0 -> K(*0)h(1)(+)h(2)(-) (h(1,2) = K, pi) decays are presented, using a data sample of 383 X 10(6) Y(4S)-> B (B) over tilde decays collected with the BABAR detector at the PEP-II asymmetric-energy B-meson factory at SLAC. The results are B(B-0 ->(KK+K-)-K-*0)=(27.5 +/- 1.3 +/- 2.2)X 10(-6), B(B-0 -> K-*0 pi K-+(-))=(4.6 +/- 1.1 +/- 0.8)X10(-6), and B(B-0 -> K-*0 pi(+)pi(-))=(54.5 +/- 2.9 +/- 4.3)X 10(-6). The first errors quoted are statistical and the second are systematic. An upper limit is set for B(B-0 -> K*K-0(+)pi(-))<2.2X10(-6) at 90% confidence level. We also present measurements of CP-violating asymmetries for the observed decays.