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Finding the Fourth Proportional to 548.57, 822.25 and 343.24

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Solution

The fourth proportional to 548.57, 822.25 and 343.24 is: 514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 822.25 = 343.24 : x
  2. Step 2: Convert to fraction form
    548.57/822.25 = 343.24/x
  3. Step 3: Cross multiply
    548.57x = 822.25 × 343.24
  4. Step 4: Simplify right side
    548.57x = 282,227.46
  5. Step 5: Solve for x
    x = 282,227.46/548.57
  6. Step 6: Final answer
    x = 514.48

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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.