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Finding the Fourth Proportional to 416.53, 624.51 and 138.77

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Solution

The fourth proportional to 416.53, 624.51 and 138.77 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 624.51 = 138.77 : x
  2. Step 2: Convert to fraction form
    416.53/624.51 = 138.77/x
  3. Step 3: Cross multiply
    416.53x = 624.51 × 138.77
  4. Step 4: Simplify right side
    416.53x = 86,664.81
  5. Step 5: Solve for x
    x = 86,664.81/416.53
  6. Step 6: Final answer
    x = 208.07

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