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Finding the Fourth Proportional to 396.47, 547.16 and 298.05

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Solution

The fourth proportional to 396.47, 547.16 and 298.05 is: 411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.47 : 547.16 = 298.05 : x
  2. Step 2: Convert to fraction form
    396.47/547.16 = 298.05/x
  3. Step 3: Cross multiply
    396.47x = 547.16 × 298.05
  4. Step 4: Simplify right side
    396.47x = 163,079.55
  5. Step 5: Solve for x
    x = 163,079.55/396.47
  6. Step 6: Final answer
    x = 411.33

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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.