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Finding the Fourth Proportional to 498.46, 747.72 and 173.86

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Solution

The fourth proportional to 498.46, 747.72 and 173.86 is: 260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.46 : 747.72 = 173.86 : x
  2. Step 2: Convert to fraction form
    498.46/747.72 = 173.86/x
  3. Step 3: Cross multiply
    498.46x = 747.72 × 173.86
  4. Step 4: Simplify right side
    498.46x = 129,998.60
  5. Step 5: Solve for x
    x = 129,998.60/498.46
  6. Step 6: Final answer
    x = 260.80

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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.