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Finding the Fourth Proportional to 419.79, 629.72 and 185.70

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Solution

The fourth proportional to 419.79, 629.72 and 185.70 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.79 : 629.72 = 185.70 : x
  2. Step 2: Convert to fraction form
    419.79/629.72 = 185.70/x
  3. Step 3: Cross multiply
    419.79x = 629.72 × 185.70
  4. Step 4: Simplify right side
    419.79x = 116,939.47
  5. Step 5: Solve for x
    x = 116,939.47/419.79
  6. Step 6: Final answer
    x = 278.57

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