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Finding the Fourth Proportional to 498.76, 748.73 and 496.53

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Solution

The fourth proportional to 498.76, 748.73 and 496.53 is: 745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.76 : 748.73 = 496.53 : x
  2. Step 2: Convert to fraction form
    498.76/748.73 = 496.53/x
  3. Step 3: Cross multiply
    498.76x = 748.73 × 496.53
  4. Step 4: Simplify right side
    498.76x = 371,766.91
  5. Step 5: Solve for x
    x = 371,766.91/498.76
  6. Step 6: Final answer
    x = 745.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.