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Finding the Fourth Proportional to 461.54, 692.46 and 173

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Solution

The fourth proportional to 461.54, 692.46 and 173 is: 259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.54 : 692.46 = 173 : x
  2. Step 2: Convert to fraction form
    461.54/692.46 = 173/x
  3. Step 3: Cross multiply
    461.54x = 692.46 × 173
  4. Step 4: Simplify right side
    461.54x = 119,795.58
  5. Step 5: Solve for x
    x = 119,795.58/461.54
  6. Step 6: Final answer
    x = 259.56

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