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Finding the Fourth Proportional to 523.52, 785.41 and 262.88

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Solution

The fourth proportional to 523.52, 785.41 and 262.88 is: 394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.52 : 785.41 = 262.88 : x
  2. Step 2: Convert to fraction form
    523.52/785.41 = 262.88/x
  3. Step 3: Cross multiply
    523.52x = 785.41 × 262.88
  4. Step 4: Simplify right side
    523.52x = 206,464.65
  5. Step 5: Solve for x
    x = 206,464.65/523.52
  6. Step 6: Final answer
    x = 394.38

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