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Finding the Fourth Proportional to 383.56, 574.86 and 280.84

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Solution

The fourth proportional to 383.56, 574.86 and 280.84 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.56 : 574.86 = 280.84 : x
  2. Step 2: Convert to fraction form
    383.56/574.86 = 280.84/x
  3. Step 3: Cross multiply
    383.56x = 574.86 × 280.84
  4. Step 4: Simplify right side
    383.56x = 161,443.68
  5. Step 5: Solve for x
    x = 161,443.68/383.56
  6. Step 6: Final answer
    x = 420.91

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