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Finding the Fourth Proportional to 548.22, 820.56 and 342.96

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Solution

The fourth proportional to 548.22, 820.56 and 342.96 is: 513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.22 : 820.56 = 342.96 : x
  2. Step 2: Convert to fraction form
    548.22/820.56 = 342.96/x
  3. Step 3: Cross multiply
    548.22x = 820.56 × 342.96
  4. Step 4: Simplify right side
    548.22x = 281,419.26
  5. Step 5: Solve for x
    x = 281,419.26/548.22
  6. Step 6: Final answer
    x = 513.33

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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.