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Finding the Fourth Proportional to 322.88, 445.39 and 204.64

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Solution

The fourth proportional to 322.88, 445.39 and 204.64 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.88 : 445.39 = 204.64 : x
  2. Step 2: Convert to fraction form
    322.88/445.39 = 204.64/x
  3. Step 3: Cross multiply
    322.88x = 445.39 × 204.64
  4. Step 4: Simplify right side
    322.88x = 91,144.61
  5. Step 5: Solve for x
    x = 91,144.61/322.88
  6. Step 6: Final answer
    x = 282.29

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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.