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Finding the Fourth Proportional to 396.57, 595.10 and 153.12

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Solution

The fourth proportional to 396.57, 595.10 and 153.12 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.57 : 595.10 = 153.12 : x
  2. Step 2: Convert to fraction form
    396.57/595.10 = 153.12/x
  3. Step 3: Cross multiply
    396.57x = 595.10 × 153.12
  4. Step 4: Simplify right side
    396.57x = 91,120.95
  5. Step 5: Solve for x
    x = 91,120.95/396.57
  6. Step 6: Final answer
    x = 229.77

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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.