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Finding the Fourth Proportional to 652.64, 978.08 and 432.80

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Solution

The fourth proportional to 652.64, 978.08 and 432.80 is: 648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 978.08 = 432.80 : x
  2. Step 2: Convert to fraction form
    652.64/978.08 = 432.80/x
  3. Step 3: Cross multiply
    652.64x = 978.08 × 432.80
  4. Step 4: Simplify right side
    652.64x = 423,313.02
  5. Step 5: Solve for x
    x = 423,313.02/652.64
  6. Step 6: Final answer
    x = 648.62

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