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Finding the Fourth Proportional to 523.14, 784.66 and 262.87

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Solution

The fourth proportional to 523.14, 784.66 and 262.87 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 784.66 = 262.87 : x
  2. Step 2: Convert to fraction form
    523.14/784.66 = 262.87/x
  3. Step 3: Cross multiply
    523.14x = 784.66 × 262.87
  4. Step 4: Simplify right side
    523.14x = 206,262.26
  5. Step 5: Solve for x
    x = 206,262.26/523.14
  6. Step 6: Final answer
    x = 394.28

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