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Finding the Fourth Proportional to 322.20, 444.49 and 204.32

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Solution

The fourth proportional to 322.20, 444.49 and 204.32 is: 281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.20 : 444.49 = 204.32 : x
  2. Step 2: Convert to fraction form
    322.20/444.49 = 204.32/x
  3. Step 3: Cross multiply
    322.20x = 444.49 × 204.32
  4. Step 4: Simplify right side
    322.20x = 90,818.80
  5. Step 5: Solve for x
    x = 90,818.80/322.20
  6. Step 6: Final answer
    x = 281.87

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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.