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Finding the Fourth Proportional to 462, 692.64 and 218.46

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Solution

The fourth proportional to 462, 692.64 and 218.46 is: 327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 692.64 = 218.46 : x
  2. Step 2: Convert to fraction form
    462/692.64 = 218.46/x
  3. Step 3: Cross multiply
    462x = 692.64 × 218.46
  4. Step 4: Simplify right side
    462x = 151,314.13
  5. Step 5: Solve for x
    x = 151,314.13/462
  6. Step 6: Final answer
    x = 327.52

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