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Finding the Fourth Proportional to 294.27, 440.04 and 249.18

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Solution

The fourth proportional to 294.27, 440.04 and 249.18 is: 372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.27 : 440.04 = 249.18 : x
  2. Step 2: Convert to fraction form
    294.27/440.04 = 249.18/x
  3. Step 3: Cross multiply
    294.27x = 440.04 × 249.18
  4. Step 4: Simplify right side
    294.27x = 109,649.17
  5. Step 5: Solve for x
    x = 109,649.17/294.27
  6. Step 6: Final answer
    x = 372.61

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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.