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Finding the Fourth Proportional to 396.36, 546.48 and 326.70

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Solution

The fourth proportional to 396.36, 546.48 and 326.70 is: 450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.36 : 546.48 = 326.70 : x
  2. Step 2: Convert to fraction form
    396.36/546.48 = 326.70/x
  3. Step 3: Cross multiply
    396.36x = 546.48 × 326.70
  4. Step 4: Simplify right side
    396.36x = 178,535.02
  5. Step 5: Solve for x
    x = 178,535.02/396.36
  6. Step 6: Final answer
    x = 450.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.