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Finding the Fourth Proportional to 396.14, 593.16 and 273.80

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Solution

The fourth proportional to 396.14, 593.16 and 273.80 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 593.16 = 273.80 : x
  2. Step 2: Convert to fraction form
    396.14/593.16 = 273.80/x
  3. Step 3: Cross multiply
    396.14x = 593.16 × 273.80
  4. Step 4: Simplify right side
    396.14x = 162,407.21
  5. Step 5: Solve for x
    x = 162,407.21/396.14
  6. Step 6: Final answer
    x = 409.97

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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.