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Finding the Fourth Proportional to 322.38, 444.89 and 266.29

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Solution

The fourth proportional to 322.38, 444.89 and 266.29 is: 367.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 444.89 = 266.29 : x
  2. Step 2: Convert to fraction form
    322.38/444.89 = 266.29/x
  3. Step 3: Cross multiply
    322.38x = 444.89 × 266.29
  4. Step 4: Simplify right side
    322.38x = 118,469.31
  5. Step 5: Solve for x
    x = 118,469.31/322.38
  6. Step 6: Final answer
    x = 367.48

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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.