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Finding the Fourth Proportional to 806.28, 1,209.24 and 395

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Solution

The fourth proportional to 806.28, 1,209.24 and 395 is: 592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.28 : 1,209.24 = 395 : x
  2. Step 2: Convert to fraction form
    806.28/1,209.24 = 395/x
  3. Step 3: Cross multiply
    806.28x = 1,209.24 × 395
  4. Step 4: Simplify right side
    806.28x = 477,647.83
  5. Step 5: Solve for x
    x = 477,647.83/806.28
  6. Step 6: Final answer
    x = 592.41

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