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Finding the Fourth Proportional to 424.42, 585.77 and 249.87

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Solution

The fourth proportional to 424.42, 585.77 and 249.87 is: 344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 585.77 = 249.87 : x
  2. Step 2: Convert to fraction form
    424.42/585.77 = 249.87/x
  3. Step 3: Cross multiply
    424.42x = 585.77 × 249.87
  4. Step 4: Simplify right side
    424.42x = 146,366.35
  5. Step 5: Solve for x
    x = 146,366.35/424.42
  6. Step 6: Final answer
    x = 344.86

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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.