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Finding the Fourth Proportional to 498.24, 747.43 and 173.53

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Solution

The fourth proportional to 498.24, 747.43 and 173.53 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 747.43 = 173.53 : x
  2. Step 2: Convert to fraction form
    498.24/747.43 = 173.53/x
  3. Step 3: Cross multiply
    498.24x = 747.43 × 173.53
  4. Step 4: Simplify right side
    498.24x = 129,702.03
  5. Step 5: Solve for x
    x = 129,702.03/498.24
  6. Step 6: Final answer
    x = 260.32

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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.