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Finding the Fourth Proportional to 548.46, 822.14 and 219.29

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Solution

The fourth proportional to 548.46, 822.14 and 219.29 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.46 : 822.14 = 219.29 : x
  2. Step 2: Convert to fraction form
    548.46/822.14 = 219.29/x
  3. Step 3: Cross multiply
    548.46x = 822.14 × 219.29
  4. Step 4: Simplify right side
    548.46x = 180,283.52
  5. Step 5: Solve for x
    x = 180,283.52/548.46
  6. Step 6: Final answer
    x = 328.71

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Why These Related Problems?

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