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Finding the Fourth Proportional to 382.28, 572.50 and 220.08

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Solution

The fourth proportional to 382.28, 572.50 and 220.08 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.28 : 572.50 = 220.08 : x
  2. Step 2: Convert to fraction form
    382.28/572.50 = 220.08/x
  3. Step 3: Cross multiply
    382.28x = 572.50 × 220.08
  4. Step 4: Simplify right side
    382.28x = 125,995.80
  5. Step 5: Solve for x
    x = 125,995.80/382.28
  6. Step 6: Final answer
    x = 329.59

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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.