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Finding the Fourth Proportional to 731.15, 1,096.74 and 244.24

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Solution

The fourth proportional to 731.15, 1,096.74 and 244.24 is: 366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.15 : 1,096.74 = 244.24 : x
  2. Step 2: Convert to fraction form
    731.15/1,096.74 = 244.24/x
  3. Step 3: Cross multiply
    731.15x = 1,096.74 × 244.24
  4. Step 4: Simplify right side
    731.15x = 267,867.78
  5. Step 5: Solve for x
    x = 267,867.78/731.15
  6. Step 6: Final answer
    x = 366.37

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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.