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Finding the Fourth Proportional to 396.54, 547.44 and 354.99

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Solution

The fourth proportional to 396.54, 547.44 and 354.99 is: 490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.54 : 547.44 = 354.99 : x
  2. Step 2: Convert to fraction form
    396.54/547.44 = 354.99/x
  3. Step 3: Cross multiply
    396.54x = 547.44 × 354.99
  4. Step 4: Simplify right side
    396.54x = 194,335.73
  5. Step 5: Solve for x
    x = 194,335.73/396.54
  6. Step 6: Final answer
    x = 490.08

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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.