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Finding the Fourth Proportional to 331.85, 457.73 and 213.97

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Solution

The fourth proportional to 331.85, 457.73 and 213.97 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.85 : 457.73 = 213.97 : x
  2. Step 2: Convert to fraction form
    331.85/457.73 = 213.97/x
  3. Step 3: Cross multiply
    331.85x = 457.73 × 213.97
  4. Step 4: Simplify right side
    331.85x = 97,938.20
  5. Step 5: Solve for x
    x = 97,938.20/331.85
  6. Step 6: Final answer
    x = 295.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.