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Finding the Fourth Proportional to 423.96, 585.25 and 249.31

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Solution

The fourth proportional to 423.96, 585.25 and 249.31 is: 344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.96 : 585.25 = 249.31 : x
  2. Step 2: Convert to fraction form
    423.96/585.25 = 249.31/x
  3. Step 3: Cross multiply
    423.96x = 585.25 × 249.31
  4. Step 4: Simplify right side
    423.96x = 145,908.68
  5. Step 5: Solve for x
    x = 145,908.68/423.96
  6. Step 6: Final answer
    x = 344.16

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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.