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Finding the Fourth Proportional to 490, 676 and 280.12

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Solution

The fourth proportional to 490, 676 and 280.12 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 676 = 280.12 : x
  2. Step 2: Convert to fraction form
    490/676 = 280.12/x
  3. Step 3: Cross multiply
    490x = 676 × 280.12
  4. Step 4: Simplify right side
    490x = 189,361.12
  5. Step 5: Solve for x
    x = 189,361.12/490
  6. Step 6: Final answer
    x = 386.45

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