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Finding the Fourth Proportional to 498.32, 747.60 and 267.44

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Solution

The fourth proportional to 498.32, 747.60 and 267.44 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 747.60 = 267.44 : x
  2. Step 2: Convert to fraction form
    498.32/747.60 = 267.44/x
  3. Step 3: Cross multiply
    498.32x = 747.60 × 267.44
  4. Step 4: Simplify right side
    498.32x = 199,938.14
  5. Step 5: Solve for x
    x = 199,938.14/498.32
  6. Step 6: Final answer
    x = 401.22

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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.