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Finding the Fourth Proportional to 498.45, 748.14 and 224.62

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Solution

The fourth proportional to 498.45, 748.14 and 224.62 is: 337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.45 : 748.14 = 224.62 : x
  2. Step 2: Convert to fraction form
    498.45/748.14 = 224.62/x
  3. Step 3: Cross multiply
    498.45x = 748.14 × 224.62
  4. Step 4: Simplify right side
    498.45x = 168,048.70
  5. Step 5: Solve for x
    x = 168,048.70/498.45
  6. Step 6: Final answer
    x = 337.14

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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.