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Finding the Fourth Proportional to 396.13, 546.43 and 246.82

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Solution

The fourth proportional to 396.13, 546.43 and 246.82 is: 340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.13 : 546.43 = 246.82 : x
  2. Step 2: Convert to fraction form
    396.13/546.43 = 246.82/x
  3. Step 3: Cross multiply
    396.13x = 546.43 × 246.82
  4. Step 4: Simplify right side
    396.13x = 134,869.85
  5. Step 5: Solve for x
    x = 134,869.85/396.13
  6. Step 6: Final answer
    x = 340.47

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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.