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Finding the Fourth Proportional to 500.05, 749.14 and 280.33

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Solution

The fourth proportional to 500.05, 749.14 and 280.33 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.05 : 749.14 = 280.33 : x
  2. Step 2: Convert to fraction form
    500.05/749.14 = 280.33/x
  3. Step 3: Cross multiply
    500.05x = 749.14 × 280.33
  4. Step 4: Simplify right side
    500.05x = 210,006.42
  5. Step 5: Solve for x
    x = 210,006.42/500.05
  6. Step 6: Final answer
    x = 419.97

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