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Finding the Fourth Proportional to 396.41, 546.68 and 291.60

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Solution

The fourth proportional to 396.41, 546.68 and 291.60 is: 402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.41 : 546.68 = 291.60 : x
  2. Step 2: Convert to fraction form
    396.41/546.68 = 291.60/x
  3. Step 3: Cross multiply
    396.41x = 546.68 × 291.60
  4. Step 4: Simplify right side
    396.41x = 159,412.62
  5. Step 5: Solve for x
    x = 159,412.62/396.41
  6. Step 6: Final answer
    x = 402.14

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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.