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Finding the Fourth Proportional to 360.27, 496.30 and 249.56

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Solution

The fourth proportional to 360.27, 496.30 and 249.56 is: 343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.27 : 496.30 = 249.56 : x
  2. Step 2: Convert to fraction form
    360.27/496.30 = 249.56/x
  3. Step 3: Cross multiply
    360.27x = 496.30 × 249.56
  4. Step 4: Simplify right side
    360.27x = 123,856.63
  5. Step 5: Solve for x
    x = 123,856.63/360.27
  6. Step 6: Final answer
    x = 343.79

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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.