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Finding the Fourth Proportional to 550.46, 824.82 and 367.19

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Solution

The fourth proportional to 550.46, 824.82 and 367.19 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.46 : 824.82 = 367.19 : x
  2. Step 2: Convert to fraction form
    550.46/824.82 = 367.19/x
  3. Step 3: Cross multiply
    550.46x = 824.82 × 367.19
  4. Step 4: Simplify right side
    550.46x = 302,861.53
  5. Step 5: Solve for x
    x = 302,861.53/550.46
  6. Step 6: Final answer
    x = 550.20

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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.