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Finding the Fourth Proportional to 396.12, 546.40 and 297.84

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Solution

The fourth proportional to 396.12, 546.40 and 297.84 is: 410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.12 : 546.40 = 297.84 : x
  2. Step 2: Convert to fraction form
    396.12/546.40 = 297.84/x
  3. Step 3: Cross multiply
    396.12x = 546.40 × 297.84
  4. Step 4: Simplify right side
    396.12x = 162,739.78
  5. Step 5: Solve for x
    x = 162,739.78/396.12
  6. Step 6: Final answer
    x = 410.83

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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.