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Finding the Fourth Proportional to 516.17, 773.55 and 284.58

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Solution

The fourth proportional to 516.17, 773.55 and 284.58 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.17 : 773.55 = 284.58 : x
  2. Step 2: Convert to fraction form
    516.17/773.55 = 284.58/x
  3. Step 3: Cross multiply
    516.17x = 773.55 × 284.58
  4. Step 4: Simplify right side
    516.17x = 220,136.86
  5. Step 5: Solve for x
    x = 220,136.86/516.17
  6. Step 6: Final answer
    x = 426.48

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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.