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Finding the Fourth Proportional to 282.38, 423.05 and 205.32

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Solution

The fourth proportional to 282.38, 423.05 and 205.32 is: 307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.38 : 423.05 = 205.32 : x
  2. Step 2: Convert to fraction form
    282.38/423.05 = 205.32/x
  3. Step 3: Cross multiply
    282.38x = 423.05 × 205.32
  4. Step 4: Simplify right side
    282.38x = 86,859.60
  5. Step 5: Solve for x
    x = 86,859.60/282.38
  6. Step 6: Final answer
    x = 307.60

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