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Finding the Fourth Proportional to 396.73, 595.48 and 214.52

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Solution

The fourth proportional to 396.73, 595.48 and 214.52 is: 321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.73 : 595.48 = 214.52 : x
  2. Step 2: Convert to fraction form
    396.73/595.48 = 214.52/x
  3. Step 3: Cross multiply
    396.73x = 595.48 × 214.52
  4. Step 4: Simplify right side
    396.73x = 127,738.86
  5. Step 5: Solve for x
    x = 127,738.86/396.73
  6. Step 6: Final answer
    x = 321.98

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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.