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Finding the Fourth Proportional to 645.78, 968.54 and 212.84

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Solution

The fourth proportional to 645.78, 968.54 and 212.84 is: 319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.78 : 968.54 = 212.84 : x
  2. Step 2: Convert to fraction form
    645.78/968.54 = 212.84/x
  3. Step 3: Cross multiply
    645.78x = 968.54 × 212.84
  4. Step 4: Simplify right side
    645.78x = 206,144.05
  5. Step 5: Solve for x
    x = 206,144.05/645.78
  6. Step 6: Final answer
    x = 319.22

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