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Finding the Fourth Proportional to 396.71, 595.14 and 153.23

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Solution

The fourth proportional to 396.71, 595.14 and 153.23 is: 229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.71 : 595.14 = 153.23 : x
  2. Step 2: Convert to fraction form
    396.71/595.14 = 153.23/x
  3. Step 3: Cross multiply
    396.71x = 595.14 × 153.23
  4. Step 4: Simplify right side
    396.71x = 91,193.30
  5. Step 5: Solve for x
    x = 91,193.30/396.71
  6. Step 6: Final answer
    x = 229.87

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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.