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Finding the Fourth Proportional to 419.80, 629.70 and 159.74

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Solution

The fourth proportional to 419.80, 629.70 and 159.74 is: 239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.80 : 629.70 = 159.74 : x
  2. Step 2: Convert to fraction form
    419.80/629.70 = 159.74/x
  3. Step 3: Cross multiply
    419.80x = 629.70 × 159.74
  4. Step 4: Simplify right side
    419.80x = 100,588.67
  5. Step 5: Solve for x
    x = 100,588.67/419.80
  6. Step 6: Final answer
    x = 239.61

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