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Finding the Fourth Proportional to 382.96, 574.68 and 200.56

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Solution

The fourth proportional to 382.96, 574.68 and 200.56 is: 300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.96 : 574.68 = 200.56 : x
  2. Step 2: Convert to fraction form
    382.96/574.68 = 200.56/x
  3. Step 3: Cross multiply
    382.96x = 574.68 × 200.56
  4. Step 4: Simplify right side
    382.96x = 115,257.82
  5. Step 5: Solve for x
    x = 115,257.82/382.96
  6. Step 6: Final answer
    x = 300.97

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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.