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Finding the Fourth Proportional to 461.52, 692.04 and 255.78

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Solution

The fourth proportional to 461.52, 692.04 and 255.78 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 692.04 = 255.78 : x
  2. Step 2: Convert to fraction form
    461.52/692.04 = 255.78/x
  3. Step 3: Cross multiply
    461.52x = 692.04 × 255.78
  4. Step 4: Simplify right side
    461.52x = 177,009.99
  5. Step 5: Solve for x
    x = 177,009.99/461.52
  6. Step 6: Final answer
    x = 383.54

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