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Finding the Fourth Proportional to 550.45, 824.83 and 367.19

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Solution

The fourth proportional to 550.45, 824.83 and 367.19 is: 550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.45 : 824.83 = 367.19 : x
  2. Step 2: Convert to fraction form
    550.45/824.83 = 367.19/x
  3. Step 3: Cross multiply
    550.45x = 824.83 × 367.19
  4. Step 4: Simplify right side
    550.45x = 302,869.33
  5. Step 5: Solve for x
    x = 302,869.33/550.45
  6. Step 6: Final answer
    x = 550.22

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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.