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Finding the Fourth Proportional to 416.32, 624.58 and 172.78

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Solution

The fourth proportional to 416.32, 624.58 and 172.78 is: 259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.32 : 624.58 = 172.78 : x
  2. Step 2: Convert to fraction form
    416.32/624.58 = 172.78/x
  3. Step 3: Cross multiply
    416.32x = 624.58 × 172.78
  4. Step 4: Simplify right side
    416.32x = 107,914.93
  5. Step 5: Solve for x
    x = 107,914.93/416.32
  6. Step 6: Final answer
    x = 259.21

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