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Finding the Fourth Proportional to 548.23, 821.44 and 331.15

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Solution

The fourth proportional to 548.23, 821.44 and 331.15 is: 496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.23 : 821.44 = 331.15 : x
  2. Step 2: Convert to fraction form
    548.23/821.44 = 331.15/x
  3. Step 3: Cross multiply
    548.23x = 821.44 × 331.15
  4. Step 4: Simplify right side
    548.23x = 272,019.86
  5. Step 5: Solve for x
    x = 272,019.86/548.23
  6. Step 6: Final answer
    x = 496.18

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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.