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Finding the Fourth Proportional to 657.08, 905.84 and 516.96

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Solution

The fourth proportional to 657.08, 905.84 and 516.96 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.08 : 905.84 = 516.96 : x
  2. Step 2: Convert to fraction form
    657.08/905.84 = 516.96/x
  3. Step 3: Cross multiply
    657.08x = 905.84 × 516.96
  4. Step 4: Simplify right side
    657.08x = 468,280.46
  5. Step 5: Solve for x
    x = 468,280.46/657.08
  6. Step 6: Final answer
    x = 712.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.