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Finding the Fourth Proportional to 381.87, 570.56 and 282.62

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Solution

The fourth proportional to 381.87, 570.56 and 282.62 is: 422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 570.56 = 282.62 : x
  2. Step 2: Convert to fraction form
    381.87/570.56 = 282.62/x
  3. Step 3: Cross multiply
    381.87x = 570.56 × 282.62
  4. Step 4: Simplify right side
    381.87x = 161,251.66
  5. Step 5: Solve for x
    x = 161,251.66/381.87
  6. Step 6: Final answer
    x = 422.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.