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Finding the Fourth Proportional to 361.92, 543.36 and 281.28

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Solution

The fourth proportional to 361.92, 543.36 and 281.28 is: 422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 543.36 = 281.28 : x
  2. Step 2: Convert to fraction form
    361.92/543.36 = 281.28/x
  3. Step 3: Cross multiply
    361.92x = 543.36 × 281.28
  4. Step 4: Simplify right side
    361.92x = 152,836.30
  5. Step 5: Solve for x
    x = 152,836.30/361.92
  6. Step 6: Final answer
    x = 422.29

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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.