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Finding the Fourth Proportional to 394.55, 591.43 and 221.30

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Solution

The fourth proportional to 394.55, 591.43 and 221.30 is: 331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.55 : 591.43 = 221.30 : x
  2. Step 2: Convert to fraction form
    394.55/591.43 = 221.30/x
  3. Step 3: Cross multiply
    394.55x = 591.43 × 221.30
  4. Step 4: Simplify right side
    394.55x = 130,883.46
  5. Step 5: Solve for x
    x = 130,883.46/394.55
  6. Step 6: Final answer
    x = 331.73

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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.