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Finding the Fourth Proportional to 293.78, 404.49 and 249.43

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Solution

The fourth proportional to 293.78, 404.49 and 249.43 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 404.49 = 249.43 : x
  2. Step 2: Convert to fraction form
    293.78/404.49 = 249.43/x
  3. Step 3: Cross multiply
    293.78x = 404.49 × 249.43
  4. Step 4: Simplify right side
    293.78x = 100,891.45
  5. Step 5: Solve for x
    x = 100,891.45/293.78
  6. Step 6: Final answer
    x = 343.43

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