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Finding the Fourth Proportional to 419.77, 629.64 and 200.55

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Solution

The fourth proportional to 419.77, 629.64 and 200.55 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.77 : 629.64 = 200.55 : x
  2. Step 2: Convert to fraction form
    419.77/629.64 = 200.55/x
  3. Step 3: Cross multiply
    419.77x = 629.64 × 200.55
  4. Step 4: Simplify right side
    419.77x = 126,274.30
  5. Step 5: Solve for x
    x = 126,274.30/419.77
  6. Step 6: Final answer
    x = 300.82

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