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Finding the Fourth Proportional to 461.92, 692.80 and 218.40

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Solution

The fourth proportional to 461.92, 692.80 and 218.40 is: 327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.92 : 692.80 = 218.40 : x
  2. Step 2: Convert to fraction form
    461.92/692.80 = 218.40/x
  3. Step 3: Cross multiply
    461.92x = 692.80 × 218.40
  4. Step 4: Simplify right side
    461.92x = 151,307.52
  5. Step 5: Solve for x
    x = 151,307.52/461.92
  6. Step 6: Final answer
    x = 327.56

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