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Finding the Fourth Proportional to 642.04, 885.90 and 409

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Solution

The fourth proportional to 642.04, 885.90 and 409 is: 564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.04 : 885.90 = 409 : x
  2. Step 2: Convert to fraction form
    642.04/885.90 = 409/x
  3. Step 3: Cross multiply
    642.04x = 885.90 × 409
  4. Step 4: Simplify right side
    642.04x = 362,333.10
  5. Step 5: Solve for x
    x = 362,333.10/642.04
  6. Step 6: Final answer
    x = 564.35

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