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Finding the Fourth Proportional to 498.29, 747.42 and 173.65

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Solution

The fourth proportional to 498.29, 747.42 and 173.65 is: 260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.29 : 747.42 = 173.65 : x
  2. Step 2: Convert to fraction form
    498.29/747.42 = 173.65/x
  3. Step 3: Cross multiply
    498.29x = 747.42 × 173.65
  4. Step 4: Simplify right side
    498.29x = 129,792.00
  5. Step 5: Solve for x
    x = 129,792.00/498.29
  6. Step 6: Final answer
    x = 260.48

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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.