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Finding the Fourth Proportional to 396.89, 547.41 and 291.95

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Solution

The fourth proportional to 396.89, 547.41 and 291.95 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.89 : 547.41 = 291.95 : x
  2. Step 2: Convert to fraction form
    396.89/547.41 = 291.95/x
  3. Step 3: Cross multiply
    396.89x = 547.41 × 291.95
  4. Step 4: Simplify right side
    396.89x = 159,813.61
  5. Step 5: Solve for x
    x = 159,813.61/396.89
  6. Step 6: Final answer
    x = 402.67

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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.