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Finding the Fourth Proportional to 285.09, 427.76 and 280.48

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Solution

The fourth proportional to 285.09, 427.76 and 280.48 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.09 : 427.76 = 280.48 : x
  2. Step 2: Convert to fraction form
    285.09/427.76 = 280.48/x
  3. Step 3: Cross multiply
    285.09x = 427.76 × 280.48
  4. Step 4: Simplify right side
    285.09x = 119,979.08
  5. Step 5: Solve for x
    x = 119,979.08/285.09
  6. Step 6: Final answer
    x = 420.84

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