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Finding the Fourth Proportional to 419.24, 627.83 and 345.66

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Solution

The fourth proportional to 419.24, 627.83 and 345.66 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.24 : 627.83 = 345.66 : x
  2. Step 2: Convert to fraction form
    419.24/627.83 = 345.66/x
  3. Step 3: Cross multiply
    419.24x = 627.83 × 345.66
  4. Step 4: Simplify right side
    419.24x = 217,015.56
  5. Step 5: Solve for x
    x = 217,015.56/419.24
  6. Step 6: Final answer
    x = 517.64

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