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Finding the Fourth Proportional to 416.12, 624.24 and 172.64

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Solution

The fourth proportional to 416.12, 624.24 and 172.64 is: 258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 624.24 = 172.64 : x
  2. Step 2: Convert to fraction form
    416.12/624.24 = 172.64/x
  3. Step 3: Cross multiply
    416.12x = 624.24 × 172.64
  4. Step 4: Simplify right side
    416.12x = 107,768.79
  5. Step 5: Solve for x
    x = 107,768.79/416.12
  6. Step 6: Final answer
    x = 258.98

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