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Finding the Fourth Proportional to 498.77, 747.45 and 254.78

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Solution

The fourth proportional to 498.77, 747.45 and 254.78 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.77 : 747.45 = 254.78 : x
  2. Step 2: Convert to fraction form
    498.77/747.45 = 254.78/x
  3. Step 3: Cross multiply
    498.77x = 747.45 × 254.78
  4. Step 4: Simplify right side
    498.77x = 190,432.53
  5. Step 5: Solve for x
    x = 190,432.53/498.77
  6. Step 6: Final answer
    x = 381.81

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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.