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Finding the Fourth Proportional to 282.52, 423.24 and 209.68

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Solution

The fourth proportional to 282.52, 423.24 and 209.68 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.52 : 423.24 = 209.68 : x
  2. Step 2: Convert to fraction form
    282.52/423.24 = 209.68/x
  3. Step 3: Cross multiply
    282.52x = 423.24 × 209.68
  4. Step 4: Simplify right side
    282.52x = 88,744.96
  5. Step 5: Solve for x
    x = 88,744.96/282.52
  6. Step 6: Final answer
    x = 314.12

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