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Finding the Fourth Proportional to 416.74, 625.35 and 185.64

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Solution

The fourth proportional to 416.74, 625.35 and 185.64 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.74 : 625.35 = 185.64 : x
  2. Step 2: Convert to fraction form
    416.74/625.35 = 185.64/x
  3. Step 3: Cross multiply
    416.74x = 625.35 × 185.64
  4. Step 4: Simplify right side
    416.74x = 116,089.97
  5. Step 5: Solve for x
    x = 116,089.97/416.74
  6. Step 6: Final answer
    x = 278.57

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