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Finding the Fourth Proportional to 622.24, 932.88 and 280

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Solution

The fourth proportional to 622.24, 932.88 and 280 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.24 : 932.88 = 280 : x
  2. Step 2: Convert to fraction form
    622.24/932.88 = 280/x
  3. Step 3: Cross multiply
    622.24x = 932.88 × 280
  4. Step 4: Simplify right side
    622.24x = 261,206.40
  5. Step 5: Solve for x
    x = 261,206.40/622.24
  6. Step 6: Final answer
    x = 419.78

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