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Finding the Fourth Proportional to 542.88, 815.04 and 421.92

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Solution

The fourth proportional to 542.88, 815.04 and 421.92 is: 633.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.88 : 815.04 = 421.92 : x
  2. Step 2: Convert to fraction form
    542.88/815.04 = 421.92/x
  3. Step 3: Cross multiply
    542.88x = 815.04 × 421.92
  4. Step 4: Simplify right side
    542.88x = 343,881.68
  5. Step 5: Solve for x
    x = 343,881.68/542.88
  6. Step 6: Final answer
    x = 633.44

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