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Finding the Fourth Proportional to 396.49, 547.18 and 343.64

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Solution

The fourth proportional to 396.49, 547.18 and 343.64 is: 474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.49 : 547.18 = 343.64 : x
  2. Step 2: Convert to fraction form
    396.49/547.18 = 343.64/x
  3. Step 3: Cross multiply
    396.49x = 547.18 × 343.64
  4. Step 4: Simplify right side
    396.49x = 188,029.34
  5. Step 5: Solve for x
    x = 188,029.34/396.49
  6. Step 6: Final answer
    x = 474.24

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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.