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Finding the Fourth Proportional to 580.87, 871.07 and 256

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Solution

The fourth proportional to 580.87, 871.07 and 256 is: 383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.87 : 871.07 = 256 : x
  2. Step 2: Convert to fraction form
    580.87/871.07 = 256/x
  3. Step 3: Cross multiply
    580.87x = 871.07 × 256
  4. Step 4: Simplify right side
    580.87x = 222,992.64
  5. Step 5: Solve for x
    x = 222,992.64/580.87
  6. Step 6: Final answer
    x = 383.90

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