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Finding the Fourth Proportional to 361.28, 540.63 and 224.39

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Solution

The fourth proportional to 361.28, 540.63 and 224.39 is: 335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 540.63 = 224.39 : x
  2. Step 2: Convert to fraction form
    361.28/540.63 = 224.39/x
  3. Step 3: Cross multiply
    361.28x = 540.63 × 224.39
  4. Step 4: Simplify right side
    361.28x = 121,309.26
  5. Step 5: Solve for x
    x = 121,309.26/361.28
  6. Step 6: Final answer
    x = 335.78

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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.