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Finding the Fourth Proportional to 396.20, 542.69 and 395.12

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Solution

The fourth proportional to 396.20, 542.69 and 395.12 is: 541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.20 : 542.69 = 395.12 : x
  2. Step 2: Convert to fraction form
    396.20/542.69 = 395.12/x
  3. Step 3: Cross multiply
    396.20x = 542.69 × 395.12
  4. Step 4: Simplify right side
    396.20x = 214,427.67
  5. Step 5: Solve for x
    x = 214,427.67/396.20
  6. Step 6: Final answer
    x = 541.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.