Finding the Fourth Proportional to 412.64, 616 and 382.64
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Solution
The fourth proportional to 412.64, 616 and 382.64 is: 571.22
Step by Step Solution
- Step 1: Write the proportion equation
412.64 : 616 = 382.64 : x - Step 2: Convert to fraction form
412.64/616 = 382.64/x - Step 3: Cross multiply
412.64x = 616 × 382.64 - Step 4: Simplify right side
412.64x = 235,706.24 - Step 5: Solve for x
x = 235,706.24/412.64 - Step 6: Final answer
x = 571.22
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.