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Finding the Fourth Proportional to 498.39, 747.78 and 173.98

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Solution

The fourth proportional to 498.39, 747.78 and 173.98 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.39 : 747.78 = 173.98 : x
  2. Step 2: Convert to fraction form
    498.39/747.78 = 173.98/x
  3. Step 3: Cross multiply
    498.39x = 747.78 × 173.98
  4. Step 4: Simplify right side
    498.39x = 130,098.76
  5. Step 5: Solve for x
    x = 130,098.76/498.39
  6. Step 6: Final answer
    x = 261.04

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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.