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Finding the Fourth Proportional to 399.65, 551.45 and 224.97

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Solution

The fourth proportional to 399.65, 551.45 and 224.97 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.65 : 551.45 = 224.97 : x
  2. Step 2: Convert to fraction form
    399.65/551.45 = 224.97/x
  3. Step 3: Cross multiply
    399.65x = 551.45 × 224.97
  4. Step 4: Simplify right side
    399.65x = 124,058.58
  5. Step 5: Solve for x
    x = 124,058.58/399.65
  6. Step 6: Final answer
    x = 310.42

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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.