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Finding the Fourth Proportional to 517.31, 775.49 and 224.67

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Solution

The fourth proportional to 517.31, 775.49 and 224.67 is: 336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 775.49 = 224.67 : x
  2. Step 2: Convert to fraction form
    517.31/775.49 = 224.67/x
  3. Step 3: Cross multiply
    517.31x = 775.49 × 224.67
  4. Step 4: Simplify right side
    517.31x = 174,228.21
  5. Step 5: Solve for x
    x = 174,228.21/517.31
  6. Step 6: Final answer
    x = 336.80

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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.