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Finding the Fourth Proportional to 731.78, 1,097.81 and 238.32

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Solution

The fourth proportional to 731.78, 1,097.81 and 238.32 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.78 : 1,097.81 = 238.32 : x
  2. Step 2: Convert to fraction form
    731.78/1,097.81 = 238.32/x
  3. Step 3: Cross multiply
    731.78x = 1,097.81 × 238.32
  4. Step 4: Simplify right side
    731.78x = 261,628.89
  5. Step 5: Solve for x
    x = 261,628.89/731.78
  6. Step 6: Final answer
    x = 357.53

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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.