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Finding the Fourth Proportional to 550.36, 823.92 and 367.30

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Solution

The fourth proportional to 550.36, 823.92 and 367.30 is: 549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.36 : 823.92 = 367.30 : x
  2. Step 2: Convert to fraction form
    550.36/823.92 = 367.30/x
  3. Step 3: Cross multiply
    550.36x = 823.92 × 367.30
  4. Step 4: Simplify right side
    550.36x = 302,625.82
  5. Step 5: Solve for x
    x = 302,625.82/550.36
  6. Step 6: Final answer
    x = 549.87

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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.