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Finding the Fourth Proportional to 517.61, 714.29 and 284.73

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Solution

The fourth proportional to 517.61, 714.29 and 284.73 is: 392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.61 : 714.29 = 284.73 : x
  2. Step 2: Convert to fraction form
    517.61/714.29 = 284.73/x
  3. Step 3: Cross multiply
    517.61x = 714.29 × 284.73
  4. Step 4: Simplify right side
    517.61x = 203,378.37
  5. Step 5: Solve for x
    x = 203,378.37/517.61
  6. Step 6: Final answer
    x = 392.92

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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.