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Finding the Fourth Proportional to 548.71, 823.08 and 223.85

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Solution

The fourth proportional to 548.71, 823.08 and 223.85 is: 335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.71 : 823.08 = 223.85 : x
  2. Step 2: Convert to fraction form
    548.71/823.08 = 223.85/x
  3. Step 3: Cross multiply
    548.71x = 823.08 × 223.85
  4. Step 4: Simplify right side
    548.71x = 184,246.46
  5. Step 5: Solve for x
    x = 184,246.46/548.71
  6. Step 6: Final answer
    x = 335.78

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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.