We present the first measurements of absolute branching fractions of Ξc 0 decays into Ξ-π+, ΛK-π+, and pK-K-π+ final states. The measurements are made using a dataset comprising (772±11)×106 BB̄ pairs collected at the (4S) resonance with the Belle detector at the KEKB e+e-collider. We first measure the absolute branching fraction for B-→Λ̄c-Ξc 0 using a missing-mass technique; the result is B(B-→Λ̄c-Ξc 0 )=(9.51±2.10±0.88)×10-4. We subsequently measure the product branching fractions B(B-→Λ̄c-Ξc 0 )B(Ξc 0 →Ξ-π+), B(B-→Λ̄c-Ξc 0 )B(Ξc 0 →ΛK-π+), and B(B-→Λ̄c-Ξc 0 )B(Ξc 0 →pK-K-π+) with improved precision. Dividing these product branching fractions by the result for B-→Λ̄c-Ξc 0 yields the following branching fractions: B(Ξc 0 →Ξ-π+)=(1.80±0.50±0.14)%, B(Ξc 0 →ΛK-π+)=(1.17±0.37±0.09)%, and B(Ξc 0 →pK-K-π+)=(0.58±0.23±0.05)%. For the above branching fractions, the first uncertainties are statistical and the second are systematic. Our result for B(Ξc 0 →Ξ-π+) can be combined with Ξc 0 branching fractions measured relative to Ξc 0 →Ξ-π+ to yield other absolute Ξc 0 branching fractions.