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Finding the Fourth Proportional to 731.76, 1,096.92 and 347.28

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Solution

The fourth proportional to 731.76, 1,096.92 and 347.28 is: 520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.76 : 1,096.92 = 347.28 : x
  2. Step 2: Convert to fraction form
    731.76/1,096.92 = 347.28/x
  3. Step 3: Cross multiply
    731.76x = 1,096.92 × 347.28
  4. Step 4: Simplify right side
    731.76x = 380,938.38
  5. Step 5: Solve for x
    x = 380,938.38/731.76
  6. Step 6: Final answer
    x = 520.58

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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.