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Finding the Fourth Proportional to 318.27, 440.24 and 261.39

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Solution

The fourth proportional to 318.27, 440.24 and 261.39 is: 361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.27 : 440.24 = 261.39 : x
  2. Step 2: Convert to fraction form
    318.27/440.24 = 261.39/x
  3. Step 3: Cross multiply
    318.27x = 440.24 × 261.39
  4. Step 4: Simplify right side
    318.27x = 115,073.03
  5. Step 5: Solve for x
    x = 115,073.03/318.27
  6. Step 6: Final answer
    x = 361.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.