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Finding the Fourth Proportional to 396.95, 546.26 and 323.46

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Solution

The fourth proportional to 396.95, 546.26 and 323.46 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.95 : 546.26 = 323.46 : x
  2. Step 2: Convert to fraction form
    396.95/546.26 = 323.46/x
  3. Step 3: Cross multiply
    396.95x = 546.26 × 323.46
  4. Step 4: Simplify right side
    396.95x = 176,691.64
  5. Step 5: Solve for x
    x = 176,691.64/396.95
  6. Step 6: Final answer
    x = 445.13

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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.