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Finding the Fourth Proportional to 516.46, 772.43 and 462.06

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Solution

The fourth proportional to 516.46, 772.43 and 462.06 is: 691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.46 : 772.43 = 462.06 : x
  2. Step 2: Convert to fraction form
    516.46/772.43 = 462.06/x
  3. Step 3: Cross multiply
    516.46x = 772.43 × 462.06
  4. Step 4: Simplify right side
    516.46x = 356,909.01
  5. Step 5: Solve for x
    x = 356,909.01/516.46
  6. Step 6: Final answer
    x = 691.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.