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Finding the Fourth Proportional to 322.45, 444.97 and 204.40

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Solution

The fourth proportional to 322.45, 444.97 and 204.40 is: 282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 444.97 = 204.40 : x
  2. Step 2: Convert to fraction form
    322.45/444.97 = 204.40/x
  3. Step 3: Cross multiply
    322.45x = 444.97 × 204.40
  4. Step 4: Simplify right side
    322.45x = 90,951.87
  5. Step 5: Solve for x
    x = 90,951.87/322.45
  6. Step 6: Final answer
    x = 282.07

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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.