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Finding the Fourth Proportional to 512.84, 768 and 295.76

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Solution

The fourth proportional to 512.84, 768 and 295.76 is: 442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 768 = 295.76 : x
  2. Step 2: Convert to fraction form
    512.84/768 = 295.76/x
  3. Step 3: Cross multiply
    512.84x = 768 × 295.76
  4. Step 4: Simplify right side
    512.84x = 227,143.68
  5. Step 5: Solve for x
    x = 227,143.68/512.84
  6. Step 6: Final answer
    x = 442.91

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