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Finding the Fourth Proportional to 517.52, 775.96 and 220.68

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Solution

The fourth proportional to 517.52, 775.96 and 220.68 is: 330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.52 : 775.96 = 220.68 : x
  2. Step 2: Convert to fraction form
    517.52/775.96 = 220.68/x
  3. Step 3: Cross multiply
    517.52x = 775.96 × 220.68
  4. Step 4: Simplify right side
    517.52x = 171,238.30
  5. Step 5: Solve for x
    x = 171,238.30/517.52
  6. Step 6: Final answer
    x = 330.88

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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.