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Finding the Fourth Proportional to 550.17, 823.80 and 366.42

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Solution

The fourth proportional to 550.17, 823.80 and 366.42 is: 548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.17 : 823.80 = 366.42 : x
  2. Step 2: Convert to fraction form
    550.17/823.80 = 366.42/x
  3. Step 3: Cross multiply
    550.17x = 823.80 × 366.42
  4. Step 4: Simplify right side
    550.17x = 301,856.80
  5. Step 5: Solve for x
    x = 301,856.80/550.17
  6. Step 6: Final answer
    x = 548.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.