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Finding the Fourth Proportional to 462.20, 692.90 and 173.84

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Solution

The fourth proportional to 462.20, 692.90 and 173.84 is: 260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.20 : 692.90 = 173.84 : x
  2. Step 2: Convert to fraction form
    462.20/692.90 = 173.84/x
  3. Step 3: Cross multiply
    462.20x = 692.90 × 173.84
  4. Step 4: Simplify right side
    462.20x = 120,454.60
  5. Step 5: Solve for x
    x = 120,454.60/462.20
  6. Step 6: Final answer
    x = 260.61

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