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Finding the Fourth Proportional to 512.06, 766.88 and 264.64

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Solution

The fourth proportional to 512.06, 766.88 and 264.64 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 766.88 = 264.64 : x
  2. Step 2: Convert to fraction form
    512.06/766.88 = 264.64/x
  3. Step 3: Cross multiply
    512.06x = 766.88 × 264.64
  4. Step 4: Simplify right side
    512.06x = 202,947.12
  5. Step 5: Solve for x
    x = 202,947.12/512.06
  6. Step 6: Final answer
    x = 396.33

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