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Finding the Fourth Proportional to 396.91, 547.77 and 323.02

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Solution

The fourth proportional to 396.91, 547.77 and 323.02 is: 445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.91 : 547.77 = 323.02 : x
  2. Step 2: Convert to fraction form
    396.91/547.77 = 323.02/x
  3. Step 3: Cross multiply
    396.91x = 547.77 × 323.02
  4. Step 4: Simplify right side
    396.91x = 176,940.67
  5. Step 5: Solve for x
    x = 176,940.67/396.91
  6. Step 6: Final answer
    x = 445.80

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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.