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Finding the Fourth Proportional to 768.04, 1,152.22 and 255

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Solution

The fourth proportional to 768.04, 1,152.22 and 255 is: 382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.04 : 1,152.22 = 255 : x
  2. Step 2: Convert to fraction form
    768.04/1,152.22 = 255/x
  3. Step 3: Cross multiply
    768.04x = 1,152.22 × 255
  4. Step 4: Simplify right side
    768.04x = 293,816.10
  5. Step 5: Solve for x
    x = 293,816.10/768.04
  6. Step 6: Final answer
    x = 382.55

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