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Finding the Fourth Proportional to 513.71, 708.91 and 280.83

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Solution

The fourth proportional to 513.71, 708.91 and 280.83 is: 387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 708.91 = 280.83 : x
  2. Step 2: Convert to fraction form
    513.71/708.91 = 280.83/x
  3. Step 3: Cross multiply
    513.71x = 708.91 × 280.83
  4. Step 4: Simplify right side
    513.71x = 199,085.15
  5. Step 5: Solve for x
    x = 199,085.15/513.71
  6. Step 6: Final answer
    x = 387.54

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