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Finding the Fourth Proportional to 331.56, 457.76 and 213.59

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Solution

The fourth proportional to 331.56, 457.76 and 213.59 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.56 : 457.76 = 213.59 : x
  2. Step 2: Convert to fraction form
    331.56/457.76 = 213.59/x
  3. Step 3: Cross multiply
    331.56x = 457.76 × 213.59
  4. Step 4: Simplify right side
    331.56x = 97,769.60
  5. Step 5: Solve for x
    x = 97,769.60/331.56
  6. Step 6: Final answer
    x = 294.88

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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.