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Finding the Fourth Proportional to 424.22, 585.42 and 249.57

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Solution

The fourth proportional to 424.22, 585.42 and 249.57 is: 344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.22 : 585.42 = 249.57 : x
  2. Step 2: Convert to fraction form
    424.22/585.42 = 249.57/x
  3. Step 3: Cross multiply
    424.22x = 585.42 × 249.57
  4. Step 4: Simplify right side
    424.22x = 146,103.27
  5. Step 5: Solve for x
    x = 146,103.27/424.22
  6. Step 6: Final answer
    x = 344.41

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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.