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Finding the Fourth Proportional to 600, 827.24 and 389.87

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Solution

The fourth proportional to 600, 827.24 and 389.87 is: 537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 827.24 = 389.87 : x
  2. Step 2: Convert to fraction form
    600/827.24 = 389.87/x
  3. Step 3: Cross multiply
    600x = 827.24 × 389.87
  4. Step 4: Simplify right side
    600x = 322,516.06
  5. Step 5: Solve for x
    x = 322,516.06/600
  6. Step 6: Final answer
    x = 537.53

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