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Finding the Fourth Proportional to 564.08, 844.68 and 467.60

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Solution

The fourth proportional to 564.08, 844.68 and 467.60 is: 700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.08 : 844.68 = 467.60 : x
  2. Step 2: Convert to fraction form
    564.08/844.68 = 467.60/x
  3. Step 3: Cross multiply
    564.08x = 844.68 × 467.60
  4. Step 4: Simplify right side
    564.08x = 394,972.37
  5. Step 5: Solve for x
    x = 394,972.37/564.08
  6. Step 6: Final answer
    x = 700.21

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