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Finding the Fourth Proportional to 322.65, 445.37 and 204.71

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Solution

The fourth proportional to 322.65, 445.37 and 204.71 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.65 : 445.37 = 204.71 : x
  2. Step 2: Convert to fraction form
    322.65/445.37 = 204.71/x
  3. Step 3: Cross multiply
    322.65x = 445.37 × 204.71
  4. Step 4: Simplify right side
    322.65x = 91,168.44
  5. Step 5: Solve for x
    x = 91,168.44/322.65
  6. Step 6: Final answer
    x = 282.56

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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.