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Finding the Fourth Proportional to 498.56, 748.24 and 293.22

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Solution

The fourth proportional to 498.56, 748.24 and 293.22 is: 440.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 748.24 = 293.22 : x
  2. Step 2: Convert to fraction form
    498.56/748.24 = 293.22/x
  3. Step 3: Cross multiply
    498.56x = 748.24 × 293.22
  4. Step 4: Simplify right side
    498.56x = 219,398.20
  5. Step 5: Solve for x
    x = 219,398.20/498.56
  6. Step 6: Final answer
    x = 440.07

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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.