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Finding the Fourth Proportional to 542.16, 812.92 and 253.80

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Solution

The fourth proportional to 542.16, 812.92 and 253.80 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 812.92 = 253.80 : x
  2. Step 2: Convert to fraction form
    542.16/812.92 = 253.80/x
  3. Step 3: Cross multiply
    542.16x = 812.92 × 253.80
  4. Step 4: Simplify right side
    542.16x = 206,319.10
  5. Step 5: Solve for x
    x = 206,319.10/542.16
  6. Step 6: Final answer
    x = 380.55

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