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Finding the Fourth Proportional to 498.53, 748.20 and 210.17

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Solution

The fourth proportional to 498.53, 748.20 and 210.17 is: 315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.53 : 748.20 = 210.17 : x
  2. Step 2: Convert to fraction form
    498.53/748.20 = 210.17/x
  3. Step 3: Cross multiply
    498.53x = 748.20 × 210.17
  4. Step 4: Simplify right side
    498.53x = 157,249.19
  5. Step 5: Solve for x
    x = 157,249.19/498.53
  6. Step 6: Final answer
    x = 315.43

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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.