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Finding the Fourth Proportional to 382.96, 573.18 and 220.24

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Solution

The fourth proportional to 382.96, 573.18 and 220.24 is: 329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.96 : 573.18 = 220.24 : x
  2. Step 2: Convert to fraction form
    382.96/573.18 = 220.24/x
  3. Step 3: Cross multiply
    382.96x = 573.18 × 220.24
  4. Step 4: Simplify right side
    382.96x = 126,237.16
  5. Step 5: Solve for x
    x = 126,237.16/382.96
  6. Step 6: Final answer
    x = 329.64

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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.