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Finding the Fourth Proportional to 742.40, 1,112.32 and 331.20

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Solution

The fourth proportional to 742.40, 1,112.32 and 331.20 is: 496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.40 : 1,112.32 = 331.20 : x
  2. Step 2: Convert to fraction form
    742.40/1,112.32 = 331.20/x
  3. Step 3: Cross multiply
    742.40x = 1,112.32 × 331.20
  4. Step 4: Simplify right side
    742.40x = 368,400.38
  5. Step 5: Solve for x
    x = 368,400.38/742.40
  6. Step 6: Final answer
    x = 496.23

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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.