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Finding the Fourth Proportional to 424.25, 585.57 and 249.65

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Solution

The fourth proportional to 424.25, 585.57 and 249.65 is: 344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.25 : 585.57 = 249.65 : x
  2. Step 2: Convert to fraction form
    424.25/585.57 = 249.65/x
  3. Step 3: Cross multiply
    424.25x = 585.57 × 249.65
  4. Step 4: Simplify right side
    424.25x = 146,184.62
  5. Step 5: Solve for x
    x = 146,184.62/424.25
  6. Step 6: Final answer
    x = 344.58

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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.