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Finding the Fourth Proportional to 657.20, 905.99 and 516.75

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Solution

The fourth proportional to 657.20, 905.99 and 516.75 is: 712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 905.99 = 516.75 : x
  2. Step 2: Convert to fraction form
    657.20/905.99 = 516.75/x
  3. Step 3: Cross multiply
    657.20x = 905.99 × 516.75
  4. Step 4: Simplify right side
    657.20x = 468,167.75
  5. Step 5: Solve for x
    x = 468,167.75/657.20
  6. Step 6: Final answer
    x = 712.37

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Why These Related Problems?

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