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Finding the Fourth Proportional to 731.43, 1,096.80 and 292.31

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Solution

The fourth proportional to 731.43, 1,096.80 and 292.31 is: 438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.43 : 1,096.80 = 292.31 : x
  2. Step 2: Convert to fraction form
    731.43/1,096.80 = 292.31/x
  3. Step 3: Cross multiply
    731.43x = 1,096.80 × 292.31
  4. Step 4: Simplify right side
    731.43x = 320,604.30
  5. Step 5: Solve for x
    x = 320,604.30/731.43
  6. Step 6: Final answer
    x = 438.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.