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Finding the Fourth Proportional to 517.97, 775.88 and 229.61

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Solution

The fourth proportional to 517.97, 775.88 and 229.61 is: 343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.97 : 775.88 = 229.61 : x
  2. Step 2: Convert to fraction form
    517.97/775.88 = 229.61/x
  3. Step 3: Cross multiply
    517.97x = 775.88 × 229.61
  4. Step 4: Simplify right side
    517.97x = 178,151.46
  5. Step 5: Solve for x
    x = 178,151.46/517.97
  6. Step 6: Final answer
    x = 343.94

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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.