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Finding the Fourth Proportional to 396.16, 546.30 and 284.20

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Solution

The fourth proportional to 396.16, 546.30 and 284.20 is: 391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 546.30 = 284.20 : x
  2. Step 2: Convert to fraction form
    396.16/546.30 = 284.20/x
  3. Step 3: Cross multiply
    396.16x = 546.30 × 284.20
  4. Step 4: Simplify right side
    396.16x = 155,258.46
  5. Step 5: Solve for x
    x = 155,258.46/396.16
  6. Step 6: Final answer
    x = 391.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.