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Finding the Fourth Proportional to 517.53, 775.85 and 224.81

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Solution

The fourth proportional to 517.53, 775.85 and 224.81 is: 337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.53 : 775.85 = 224.81 : x
  2. Step 2: Convert to fraction form
    517.53/775.85 = 224.81/x
  3. Step 3: Cross multiply
    517.53x = 775.85 × 224.81
  4. Step 4: Simplify right side
    517.53x = 174,414.96
  5. Step 5: Solve for x
    x = 174,414.96/517.53
  6. Step 6: Final answer
    x = 337.02

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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.