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Finding the Fourth Proportional to 280.26, 419.76 and 273.38

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Solution

The fourth proportional to 280.26, 419.76 and 273.38 is: 409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 419.76 = 273.38 : x
  2. Step 2: Convert to fraction form
    280.26/419.76 = 273.38/x
  3. Step 3: Cross multiply
    280.26x = 419.76 × 273.38
  4. Step 4: Simplify right side
    280.26x = 114,753.99
  5. Step 5: Solve for x
    x = 114,753.99/280.26
  6. Step 6: Final answer
    x = 409.46

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