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Finding the Fourth Proportional to 408.57, 612.93 and 189.42

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Solution

The fourth proportional to 408.57, 612.93 and 189.42 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.57 : 612.93 = 189.42 : x
  2. Step 2: Convert to fraction form
    408.57/612.93 = 189.42/x
  3. Step 3: Cross multiply
    408.57x = 612.93 × 189.42
  4. Step 4: Simplify right side
    408.57x = 116,097.19
  5. Step 5: Solve for x
    x = 116,097.19/408.57
  6. Step 6: Final answer
    x = 284.15

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