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Finding the Fourth Proportional to 548.29, 822.06 and 219.26

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Solution

The fourth proportional to 548.29, 822.06 and 219.26 is: 328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.29 : 822.06 = 219.26 : x
  2. Step 2: Convert to fraction form
    548.29/822.06 = 219.26/x
  3. Step 3: Cross multiply
    548.29x = 822.06 × 219.26
  4. Step 4: Simplify right side
    548.29x = 180,244.88
  5. Step 5: Solve for x
    x = 180,244.88/548.29
  6. Step 6: Final answer
    x = 328.74

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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.