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Finding the Fourth Proportional to 492.97, 679.94 and 327.10

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Solution

The fourth proportional to 492.97, 679.94 and 327.10 is: 451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.97 : 679.94 = 327.10 : x
  2. Step 2: Convert to fraction form
    492.97/679.94 = 327.10/x
  3. Step 3: Cross multiply
    492.97x = 679.94 × 327.10
  4. Step 4: Simplify right side
    492.97x = 222,408.37
  5. Step 5: Solve for x
    x = 222,408.37/492.97
  6. Step 6: Final answer
    x = 451.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.