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Finding the Fourth Proportional to 396.98, 595.76 and 150.40

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Solution

The fourth proportional to 396.98, 595.76 and 150.40 is: 225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.98 : 595.76 = 150.40 : x
  2. Step 2: Convert to fraction form
    396.98/595.76 = 150.40/x
  3. Step 3: Cross multiply
    396.98x = 595.76 × 150.40
  4. Step 4: Simplify right side
    396.98x = 89,602.30
  5. Step 5: Solve for x
    x = 89,602.30/396.98
  6. Step 6: Final answer
    x = 225.71

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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.