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Finding the Fourth Proportional to 580.78, 871.31 and 190.80

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Solution

The fourth proportional to 580.78, 871.31 and 190.80 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 871.31 = 190.80 : x
  2. Step 2: Convert to fraction form
    580.78/871.31 = 190.80/x
  3. Step 3: Cross multiply
    580.78x = 871.31 × 190.80
  4. Step 4: Simplify right side
    580.78x = 166,244.99
  5. Step 5: Solve for x
    x = 166,244.99/580.78
  6. Step 6: Final answer
    x = 286.25

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