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Finding the Fourth Proportional to 498.84, 748.05 and 224.83

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Solution

The fourth proportional to 498.84, 748.05 and 224.83 is: 337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 748.05 = 224.83 : x
  2. Step 2: Convert to fraction form
    498.84/748.05 = 224.83/x
  3. Step 3: Cross multiply
    498.84x = 748.05 × 224.83
  4. Step 4: Simplify right side
    498.84x = 168,184.08
  5. Step 5: Solve for x
    x = 168,184.08/498.84
  6. Step 6: Final answer
    x = 337.15

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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.