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Finding the Fourth Proportional to 396.39, 546.38 and 326.33

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Solution

The fourth proportional to 396.39, 546.38 and 326.33 is: 449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.39 : 546.38 = 326.33 : x
  2. Step 2: Convert to fraction form
    396.39/546.38 = 326.33/x
  3. Step 3: Cross multiply
    396.39x = 546.38 × 326.33
  4. Step 4: Simplify right side
    396.39x = 178,299.09
  5. Step 5: Solve for x
    x = 178,299.09/396.39
  6. Step 6: Final answer
    x = 449.80

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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.