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Finding the Fourth Proportional to 548.41, 822.07 and 224.01

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Solution

The fourth proportional to 548.41, 822.07 and 224.01 is: 335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.41 : 822.07 = 224.01 : x
  2. Step 2: Convert to fraction form
    548.41/822.07 = 224.01/x
  3. Step 3: Cross multiply
    548.41x = 822.07 × 224.01
  4. Step 4: Simplify right side
    548.41x = 184,151.90
  5. Step 5: Solve for x
    x = 184,151.90/548.41
  6. Step 6: Final answer
    x = 335.79

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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.