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Finding the Fourth Proportional to 653.18, 978.75 and 421.88

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Solution

The fourth proportional to 653.18, 978.75 and 421.88 is: 632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.18 : 978.75 = 421.88 : x
  2. Step 2: Convert to fraction form
    653.18/978.75 = 421.88/x
  3. Step 3: Cross multiply
    653.18x = 978.75 × 421.88
  4. Step 4: Simplify right side
    653.18x = 412,910.16
  5. Step 5: Solve for x
    x = 412,910.16/653.18
  6. Step 6: Final answer
    x = 632.16

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