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Finding the Fourth Proportional to 395.84, 592.96 and 280

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Solution

The fourth proportional to 395.84, 592.96 and 280 is: 419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 592.96 = 280 : x
  2. Step 2: Convert to fraction form
    395.84/592.96 = 280/x
  3. Step 3: Cross multiply
    395.84x = 592.96 × 280
  4. Step 4: Simplify right side
    395.84x = 166,028.80
  5. Step 5: Solve for x
    x = 166,028.80/395.84
  6. Step 6: Final answer
    x = 419.43

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