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Finding the Fourth Proportional to 498.27, 747.43 and 173.66

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Solution

The fourth proportional to 498.27, 747.43 and 173.66 is: 260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.27 : 747.43 = 173.66 : x
  2. Step 2: Convert to fraction form
    498.27/747.43 = 173.66/x
  3. Step 3: Cross multiply
    498.27x = 747.43 × 173.66
  4. Step 4: Simplify right side
    498.27x = 129,797.83
  5. Step 5: Solve for x
    x = 129,797.83/498.27
  6. Step 6: Final answer
    x = 260.50

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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.