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Finding the Fourth Proportional to 396.14, 546.55 and 256.37

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Solution

The fourth proportional to 396.14, 546.55 and 256.37 is: 353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 546.55 = 256.37 : x
  2. Step 2: Convert to fraction form
    396.14/546.55 = 256.37/x
  3. Step 3: Cross multiply
    396.14x = 546.55 × 256.37
  4. Step 4: Simplify right side
    396.14x = 140,115.65
  5. Step 5: Solve for x
    x = 140,115.65/396.14
  6. Step 6: Final answer
    x = 353.70

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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.