Mix 1 1/2 cups of all-purpose flour and rye flour, set aside. Heat beer, water, honey and butter until warm (100° to 110°F). Combine warm beer mixture, yeast, salt, caraway seed, garlic powder and 1 1/2 cups of flour mixture in a large bowl. Beat until smooth. Stir in remaining flour mixture and enough additional all-purpose flour to make a soft dough. Knead on a lightly floured surface until smooth, about 4 to 6 minutes.
Shape dough into a ball; place in a greased 8-inch round pan, turning to grease top. Flatten dough to fit pan. Cover; let rise in a warm, draft-free place about 45 minutes or until doubled in size.
Bake at 375°F for 25 to 30 minutes or until done. Remove from pan. Brush with additional melted butter if desired. Cool on rack.