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Finding the Fourth Proportional to 731.25, 1,096.62 and 237.63

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Solution

The fourth proportional to 731.25, 1,096.62 and 237.63 is: 356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.25 : 1,096.62 = 237.63 : x
  2. Step 2: Convert to fraction form
    731.25/1,096.62 = 237.63/x
  3. Step 3: Cross multiply
    731.25x = 1,096.62 × 237.63
  4. Step 4: Simplify right side
    731.25x = 260,589.81
  5. Step 5: Solve for x
    x = 260,589.81/731.25
  6. Step 6: Final answer
    x = 356.36

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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.