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Finding the Fourth Proportional to 512.29, 767.74 and 280.84

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Solution

The fourth proportional to 512.29, 767.74 and 280.84 is: 420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.29 : 767.74 = 280.84 : x
  2. Step 2: Convert to fraction form
    512.29/767.74 = 280.84/x
  3. Step 3: Cross multiply
    512.29x = 767.74 × 280.84
  4. Step 4: Simplify right side
    512.29x = 215,612.10
  5. Step 5: Solve for x
    x = 215,612.10/512.29
  6. Step 6: Final answer
    x = 420.88

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