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Finding the Fourth Proportional to 652.47, 978.75 and 327.75

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Solution

The fourth proportional to 652.47, 978.75 and 327.75 is: 491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.47 : 978.75 = 327.75 : x
  2. Step 2: Convert to fraction form
    652.47/978.75 = 327.75/x
  3. Step 3: Cross multiply
    652.47x = 978.75 × 327.75
  4. Step 4: Simplify right side
    652.47x = 320,785.31
  5. Step 5: Solve for x
    x = 320,785.31/652.47
  6. Step 6: Final answer
    x = 491.65

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