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Finding the Fourth Proportional to 396.72, 595.22 and 180.45

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Solution

The fourth proportional to 396.72, 595.22 and 180.45 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.72 : 595.22 = 180.45 : x
  2. Step 2: Convert to fraction form
    396.72/595.22 = 180.45/x
  3. Step 3: Cross multiply
    396.72x = 595.22 × 180.45
  4. Step 4: Simplify right side
    396.72x = 107,406.55
  5. Step 5: Solve for x
    x = 107,406.55/396.72
  6. Step 6: Final answer
    x = 270.74

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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.