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Finding the Fourth Proportional to 596, 822.40 and 399.68

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Solution

The fourth proportional to 596, 822.40 and 399.68 is: 551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596 : 822.40 = 399.68 : x
  2. Step 2: Convert to fraction form
    596/822.40 = 399.68/x
  3. Step 3: Cross multiply
    596x = 822.40 × 399.68
  4. Step 4: Simplify right side
    596x = 328,696.83
  5. Step 5: Solve for x
    x = 328,696.83/596
  6. Step 6: Final answer
    x = 551.50

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