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Finding the Fourth Proportional to 498.20, 747.42 and 254.72

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Solution

The fourth proportional to 498.20, 747.42 and 254.72 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.20 : 747.42 = 254.72 : x
  2. Step 2: Convert to fraction form
    498.20/747.42 = 254.72/x
  3. Step 3: Cross multiply
    498.20x = 747.42 × 254.72
  4. Step 4: Simplify right side
    498.20x = 190,382.82
  5. Step 5: Solve for x
    x = 190,382.82/498.20
  6. Step 6: Final answer
    x = 382.14

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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.