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Finding the Fourth Proportional to 540.35, 809.91 and 280.74

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Solution

The fourth proportional to 540.35, 809.91 and 280.74 is: 420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.35 : 809.91 = 280.74 : x
  2. Step 2: Convert to fraction form
    540.35/809.91 = 280.74/x
  3. Step 3: Cross multiply
    540.35x = 809.91 × 280.74
  4. Step 4: Simplify right side
    540.35x = 227,374.13
  5. Step 5: Solve for x
    x = 227,374.13/540.35
  6. Step 6: Final answer
    x = 420.79

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