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Finding the Fourth Proportional to 396.74, 595.70 and 243.31

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Solution

The fourth proportional to 396.74, 595.70 and 243.31 is: 365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.74 : 595.70 = 243.31 : x
  2. Step 2: Convert to fraction form
    396.74/595.70 = 243.31/x
  3. Step 3: Cross multiply
    396.74x = 595.70 × 243.31
  4. Step 4: Simplify right side
    396.74x = 144,938.89
  5. Step 5: Solve for x
    x = 144,938.89/396.74
  6. Step 6: Final answer
    x = 365.33

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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.