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Finding the Fourth Proportional to 322.34, 444.66 and 204.09

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Solution

The fourth proportional to 322.34, 444.66 and 204.09 is: 281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.34 : 444.66 = 204.09 : x
  2. Step 2: Convert to fraction form
    322.34/444.66 = 204.09/x
  3. Step 3: Cross multiply
    322.34x = 444.66 × 204.09
  4. Step 4: Simplify right side
    322.34x = 90,748.23
  5. Step 5: Solve for x
    x = 90,748.23/322.34
  6. Step 6: Final answer
    x = 281.53

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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.