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Finding the Fourth Proportional to 396.84, 595.42 and 204.52

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Solution

The fourth proportional to 396.84, 595.42 and 204.52 is: 306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 595.42 = 204.52 : x
  2. Step 2: Convert to fraction form
    396.84/595.42 = 204.52/x
  3. Step 3: Cross multiply
    396.84x = 595.42 × 204.52
  4. Step 4: Simplify right side
    396.84x = 121,775.30
  5. Step 5: Solve for x
    x = 121,775.30/396.84
  6. Step 6: Final answer
    x = 306.86

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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.