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Finding the Fourth Proportional to 548.26, 821.61 and 273.96

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Solution

The fourth proportional to 548.26, 821.61 and 273.96 is: 410.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.26 : 821.61 = 273.96 : x
  2. Step 2: Convert to fraction form
    548.26/821.61 = 273.96/x
  3. Step 3: Cross multiply
    548.26x = 821.61 × 273.96
  4. Step 4: Simplify right side
    548.26x = 225,088.28
  5. Step 5: Solve for x
    x = 225,088.28/548.26
  6. Step 6: Final answer
    x = 410.55

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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.