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Finding the Fourth Proportional to 381.78, 571.86 and 218.70

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Solution

The fourth proportional to 381.78, 571.86 and 218.70 is: 327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.78 : 571.86 = 218.70 : x
  2. Step 2: Convert to fraction form
    381.78/571.86 = 218.70/x
  3. Step 3: Cross multiply
    381.78x = 571.86 × 218.70
  4. Step 4: Simplify right side
    381.78x = 125,065.78
  5. Step 5: Solve for x
    x = 125,065.78/381.78
  6. Step 6: Final answer
    x = 327.59

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