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Finding the Fourth Proportional to 511.80, 767.39 and 280.10

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Solution

The fourth proportional to 511.80, 767.39 and 280.10 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 767.39 = 280.10 : x
  2. Step 2: Convert to fraction form
    511.80/767.39 = 280.10/x
  3. Step 3: Cross multiply
    511.80x = 767.39 × 280.10
  4. Step 4: Simplify right side
    511.80x = 214,940.70
  5. Step 5: Solve for x
    x = 214,940.70/511.80
  6. Step 6: Final answer
    x = 419.97

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