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Finding the Fourth Proportional to 550.09, 824.67 and 220.83

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Solution

The fourth proportional to 550.09, 824.67 and 220.83 is: 331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.09 : 824.67 = 220.83 : x
  2. Step 2: Convert to fraction form
    550.09/824.67 = 220.83/x
  3. Step 3: Cross multiply
    550.09x = 824.67 × 220.83
  4. Step 4: Simplify right side
    550.09x = 182,108.47
  5. Step 5: Solve for x
    x = 182,108.47/550.09
  6. Step 6: Final answer
    x = 331.05

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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.