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Finding the Fourth Proportional to 322.34, 444.92 and 205.97

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Solution

The fourth proportional to 322.34, 444.92 and 205.97 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.34 : 444.92 = 205.97 : x
  2. Step 2: Convert to fraction form
    322.34/444.92 = 205.97/x
  3. Step 3: Cross multiply
    322.34x = 444.92 × 205.97
  4. Step 4: Simplify right side
    322.34x = 91,636.92
  5. Step 5: Solve for x
    x = 91,636.92/322.34
  6. Step 6: Final answer
    x = 284.29

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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.