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Finding the Fourth Proportional to 416.14, 623.80 and 172.43

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Solution

The fourth proportional to 416.14, 623.80 and 172.43 is: 258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 623.80 = 172.43 : x
  2. Step 2: Convert to fraction form
    416.14/623.80 = 172.43/x
  3. Step 3: Cross multiply
    416.14x = 623.80 × 172.43
  4. Step 4: Simplify right side
    416.14x = 107,561.27
  5. Step 5: Solve for x
    x = 107,561.27/416.14
  6. Step 6: Final answer
    x = 258.48

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