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Finding the Fourth Proportional to 381.42, 570.75 and 327.96

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Solution

The fourth proportional to 381.42, 570.75 and 327.96 is: 490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 570.75 = 327.96 : x
  2. Step 2: Convert to fraction form
    381.42/570.75 = 327.96/x
  3. Step 3: Cross multiply
    381.42x = 570.75 × 327.96
  4. Step 4: Simplify right side
    381.42x = 187,183.17
  5. Step 5: Solve for x
    x = 187,183.17/381.42
  6. Step 6: Final answer
    x = 490.75

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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.