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Finding the Fourth Proportional to 548.88, 822.60 and 224.49

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Solution

The fourth proportional to 548.88, 822.60 and 224.49 is: 336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 822.60 = 224.49 : x
  2. Step 2: Convert to fraction form
    548.88/822.60 = 224.49/x
  3. Step 3: Cross multiply
    548.88x = 822.60 × 224.49
  4. Step 4: Simplify right side
    548.88x = 184,665.47
  5. Step 5: Solve for x
    x = 184,665.47/548.88
  6. Step 6: Final answer
    x = 336.44

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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.