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Finding the Fourth Proportional to 396.77, 595.33 and 204.53

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Solution

The fourth proportional to 396.77, 595.33 and 204.53 is: 306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.77 : 595.33 = 204.53 : x
  2. Step 2: Convert to fraction form
    396.77/595.33 = 204.53/x
  3. Step 3: Cross multiply
    396.77x = 595.33 × 204.53
  4. Step 4: Simplify right side
    396.77x = 121,761.82
  5. Step 5: Solve for x
    x = 121,761.82/396.77
  6. Step 6: Final answer
    x = 306.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.