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Finding the Fourth Proportional to 516.52, 712.77 and 474.68

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Solution

The fourth proportional to 516.52, 712.77 and 474.68 is: 655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 712.77 = 474.68 : x
  2. Step 2: Convert to fraction form
    516.52/712.77 = 474.68/x
  3. Step 3: Cross multiply
    516.52x = 712.77 × 474.68
  4. Step 4: Simplify right side
    516.52x = 338,337.66
  5. Step 5: Solve for x
    x = 338,337.66/516.52
  6. Step 6: Final answer
    x = 655.03

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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.