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Finding the Fourth Proportional to 640.78, 960.87 and 380.81

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Solution

The fourth proportional to 640.78, 960.87 and 380.81 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.78 : 960.87 = 380.81 : x
  2. Step 2: Convert to fraction form
    640.78/960.87 = 380.81/x
  3. Step 3: Cross multiply
    640.78x = 960.87 × 380.81
  4. Step 4: Simplify right side
    640.78x = 365,912.39
  5. Step 5: Solve for x
    x = 365,912.39/640.78
  6. Step 6: Final answer
    x = 571.04

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