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Finding the Fourth Proportional to 396.58, 595.14 and 204.34

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Solution

The fourth proportional to 396.58, 595.14 and 204.34 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.58 : 595.14 = 204.34 : x
  2. Step 2: Convert to fraction form
    396.58/595.14 = 204.34/x
  3. Step 3: Cross multiply
    396.58x = 595.14 × 204.34
  4. Step 4: Simplify right side
    396.58x = 121,610.91
  5. Step 5: Solve for x
    x = 121,610.91/396.58
  6. Step 6: Final answer
    x = 306.65

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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.