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Finding the Fourth Proportional to 513.76, 708.99 and 280.90

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Solution

The fourth proportional to 513.76, 708.99 and 280.90 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 708.99 = 280.90 : x
  2. Step 2: Convert to fraction form
    513.76/708.99 = 280.90/x
  3. Step 3: Cross multiply
    513.76x = 708.99 × 280.90
  4. Step 4: Simplify right side
    513.76x = 199,155.29
  5. Step 5: Solve for x
    x = 199,155.29/513.76
  6. Step 6: Final answer
    x = 387.64

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