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Finding the Fourth Proportional to 492.13, 738.22 and 218.22

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Solution

The fourth proportional to 492.13, 738.22 and 218.22 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.13 : 738.22 = 218.22 : x
  2. Step 2: Convert to fraction form
    492.13/738.22 = 218.22/x
  3. Step 3: Cross multiply
    492.13x = 738.22 × 218.22
  4. Step 4: Simplify right side
    492.13x = 161,090.68
  5. Step 5: Solve for x
    x = 161,090.68/492.13
  6. Step 6: Final answer
    x = 327.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.