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Finding the Fourth Proportional to 461.43, 692.33 and 204.75

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Solution

The fourth proportional to 461.43, 692.33 and 204.75 is: 307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.43 : 692.33 = 204.75 : x
  2. Step 2: Convert to fraction form
    461.43/692.33 = 204.75/x
  3. Step 3: Cross multiply
    461.43x = 692.33 × 204.75
  4. Step 4: Simplify right side
    461.43x = 141,753.54
  5. Step 5: Solve for x
    x = 141,753.54/461.43
  6. Step 6: Final answer
    x = 307.20

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