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Finding the Fourth Proportional to 278.76, 418.22 and 278.76

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Solution

The fourth proportional to 278.76, 418.22 and 278.76 is: 418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.76 : 418.22 = 278.76 : x
  2. Step 2: Convert to fraction form
    278.76/418.22 = 278.76/x
  3. Step 3: Cross multiply
    278.76x = 418.22 × 278.76
  4. Step 4: Simplify right side
    278.76x = 116,583.01
  5. Step 5: Solve for x
    x = 116,583.01/278.76
  6. Step 6: Final answer
    x = 418.22

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