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Finding the Fourth Proportional to 498.60, 747.72 and 174.24

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Solution

The fourth proportional to 498.60, 747.72 and 174.24 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.60 : 747.72 = 174.24 : x
  2. Step 2: Convert to fraction form
    498.60/747.72 = 174.24/x
  3. Step 3: Cross multiply
    498.60x = 747.72 × 174.24
  4. Step 4: Simplify right side
    498.60x = 130,282.73
  5. Step 5: Solve for x
    x = 130,282.73/498.60
  6. Step 6: Final answer
    x = 261.30

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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.