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Finding the Fourth Proportional to 713.12, 1,069.76 and 280

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Solution

The fourth proportional to 713.12, 1,069.76 and 280 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 1,069.76 = 280 : x
  2. Step 2: Convert to fraction form
    713.12/1,069.76 = 280/x
  3. Step 3: Cross multiply
    713.12x = 1,069.76 × 280
  4. Step 4: Simplify right side
    713.12x = 299,532.80
  5. Step 5: Solve for x
    x = 299,532.80/713.12
  6. Step 6: Final answer
    x = 420.03

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