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Finding the Fourth Proportional to 319.71, 478.62 and 280.83

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Solution

The fourth proportional to 319.71, 478.62 and 280.83 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 478.62 = 280.83 : x
  2. Step 2: Convert to fraction form
    319.71/478.62 = 280.83/x
  3. Step 3: Cross multiply
    319.71x = 478.62 × 280.83
  4. Step 4: Simplify right side
    319.71x = 134,410.85
  5. Step 5: Solve for x
    x = 134,410.85/319.71
  6. Step 6: Final answer
    x = 420.41

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