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Finding the Fourth Proportional to 517.30, 775.96 and 224.79

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Solution

The fourth proportional to 517.30, 775.96 and 224.79 is: 337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.30 : 775.96 = 224.79 : x
  2. Step 2: Convert to fraction form
    517.30/775.96 = 224.79/x
  3. Step 3: Cross multiply
    517.30x = 775.96 × 224.79
  4. Step 4: Simplify right side
    517.30x = 174,430.21
  5. Step 5: Solve for x
    x = 174,430.21/517.30
  6. Step 6: Final answer
    x = 337.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.