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Finding the Fourth Proportional to 516.96, 711.72 and 463.32

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Solution

The fourth proportional to 516.96, 711.72 and 463.32 is: 637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.96 : 711.72 = 463.32 : x
  2. Step 2: Convert to fraction form
    516.96/711.72 = 463.32/x
  3. Step 3: Cross multiply
    516.96x = 711.72 × 463.32
  4. Step 4: Simplify right side
    516.96x = 329,754.11
  5. Step 5: Solve for x
    x = 329,754.11/516.96
  6. Step 6: Final answer
    x = 637.87

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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.