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Finding the Fourth Proportional to 548.39, 822.59 and 274.21

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Solution

The fourth proportional to 548.39, 822.59 and 274.21 is: 411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.39 : 822.59 = 274.21 : x
  2. Step 2: Convert to fraction form
    548.39/822.59 = 274.21/x
  3. Step 3: Cross multiply
    548.39x = 822.59 × 274.21
  4. Step 4: Simplify right side
    548.39x = 225,560.00
  5. Step 5: Solve for x
    x = 225,560.00/548.39
  6. Step 6: Final answer
    x = 411.31

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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.