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Finding the Fourth Proportional to 382.38, 572.33 and 199.52

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Solution

The fourth proportional to 382.38, 572.33 and 199.52 is: 298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 572.33 = 199.52 : x
  2. Step 2: Convert to fraction form
    382.38/572.33 = 199.52/x
  3. Step 3: Cross multiply
    382.38x = 572.33 × 199.52
  4. Step 4: Simplify right side
    382.38x = 114,187.42
  5. Step 5: Solve for x
    x = 114,187.42/382.38
  6. Step 6: Final answer
    x = 298.62

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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.