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Finding the Fourth Proportional to 398.78, 598.40 and 167.64

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Solution

The fourth proportional to 398.78, 598.40 and 167.64 is: 251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.78 : 598.40 = 167.64 : x
  2. Step 2: Convert to fraction form
    398.78/598.40 = 167.64/x
  3. Step 3: Cross multiply
    398.78x = 598.40 × 167.64
  4. Step 4: Simplify right side
    398.78x = 100,314.94
  5. Step 5: Solve for x
    x = 100,314.94/398.78
  6. Step 6: Final answer
    x = 251.56

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