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Finding the Fourth Proportional to 517.56, 714.24 and 284.69

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Solution

The fourth proportional to 517.56, 714.24 and 284.69 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 714.24 = 284.69 : x
  2. Step 2: Convert to fraction form
    517.56/714.24 = 284.69/x
  3. Step 3: Cross multiply
    517.56x = 714.24 × 284.69
  4. Step 4: Simplify right side
    517.56x = 203,336.99
  5. Step 5: Solve for x
    x = 203,336.99/517.56
  6. Step 6: Final answer
    x = 392.88

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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.