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Finding the Fourth Proportional to 511.80, 767.97 and 280.55

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Solution

The fourth proportional to 511.80, 767.97 and 280.55 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 767.97 = 280.55 : x
  2. Step 2: Convert to fraction form
    511.80/767.97 = 280.55/x
  3. Step 3: Cross multiply
    511.80x = 767.97 × 280.55
  4. Step 4: Simplify right side
    511.80x = 215,450.14
  5. Step 5: Solve for x
    x = 215,450.14/511.80
  6. Step 6: Final answer
    x = 420.97

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