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Finding the Fourth Proportional to 731.32, 1,097.39 and 298.38

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Solution

The fourth proportional to 731.32, 1,097.39 and 298.38 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.32 : 1,097.39 = 298.38 : x
  2. Step 2: Convert to fraction form
    731.32/1,097.39 = 298.38/x
  3. Step 3: Cross multiply
    731.32x = 1,097.39 × 298.38
  4. Step 4: Simplify right side
    731.32x = 327,439.23
  5. Step 5: Solve for x
    x = 327,439.23/731.32
  6. Step 6: Final answer
    x = 447.74

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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.