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Finding the Fourth Proportional to 642, 885.96 and 409.36

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Solution

The fourth proportional to 642, 885.96 and 409.36 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642 : 885.96 = 409.36 : x
  2. Step 2: Convert to fraction form
    642/885.96 = 409.36/x
  3. Step 3: Cross multiply
    642x = 885.96 × 409.36
  4. Step 4: Simplify right side
    642x = 362,676.59
  5. Step 5: Solve for x
    x = 362,676.59/642
  6. Step 6: Final answer
    x = 564.92

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