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Finding the Fourth Proportional to 516.64, 773.36 and 462.88

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Solution

The fourth proportional to 516.64, 773.36 and 462.88 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 773.36 = 462.88 : x
  2. Step 2: Convert to fraction form
    516.64/773.36 = 462.88/x
  3. Step 3: Cross multiply
    516.64x = 773.36 × 462.88
  4. Step 4: Simplify right side
    516.64x = 357,972.88
  5. Step 5: Solve for x
    x = 357,972.88/516.64
  6. Step 6: Final answer
    x = 692.89

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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.