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Finding the Fourth Proportional to 512.92, 769.76 and 376.32

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Solution

The fourth proportional to 512.92, 769.76 and 376.32 is: 564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 769.76 = 376.32 : x
  2. Step 2: Convert to fraction form
    512.92/769.76 = 376.32/x
  3. Step 3: Cross multiply
    512.92x = 769.76 × 376.32
  4. Step 4: Simplify right side
    512.92x = 289,676.08
  5. Step 5: Solve for x
    x = 289,676.08/512.92
  6. Step 6: Final answer
    x = 564.76

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