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Finding the Fourth Proportional to 424.42, 585.62 and 249.79

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Solution

The fourth proportional to 424.42, 585.62 and 249.79 is: 344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 585.62 = 249.79 : x
  2. Step 2: Convert to fraction form
    424.42/585.62 = 249.79/x
  3. Step 3: Cross multiply
    424.42x = 585.62 × 249.79
  4. Step 4: Simplify right side
    424.42x = 146,282.02
  5. Step 5: Solve for x
    x = 146,282.02/424.42
  6. Step 6: Final answer
    x = 344.66

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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.