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Finding the Fourth Proportional to 410.12, 613.92 and 306.80

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Solution

The fourth proportional to 410.12, 613.92 and 306.80 is: 459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.12 : 613.92 = 306.80 : x
  2. Step 2: Convert to fraction form
    410.12/613.92 = 306.80/x
  3. Step 3: Cross multiply
    410.12x = 613.92 × 306.80
  4. Step 4: Simplify right side
    410.12x = 188,350.66
  5. Step 5: Solve for x
    x = 188,350.66/410.12
  6. Step 6: Final answer
    x = 459.26

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