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Finding the Fourth Proportional to 396.75, 546.82 and 291.62

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Solution

The fourth proportional to 396.75, 546.82 and 291.62 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.75 : 546.82 = 291.62 : x
  2. Step 2: Convert to fraction form
    396.75/546.82 = 291.62/x
  3. Step 3: Cross multiply
    396.75x = 546.82 × 291.62
  4. Step 4: Simplify right side
    396.75x = 159,461.21
  5. Step 5: Solve for x
    x = 159,461.21/396.75
  6. Step 6: Final answer
    x = 401.92

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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.