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Finding the Fourth Proportional to 550.17, 824.43 and 367.53

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Solution

The fourth proportional to 550.17, 824.43 and 367.53 is: 550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.17 : 824.43 = 367.53 : x
  2. Step 2: Convert to fraction form
    550.17/824.43 = 367.53/x
  3. Step 3: Cross multiply
    550.17x = 824.43 × 367.53
  4. Step 4: Simplify right side
    550.17x = 303,002.76
  5. Step 5: Solve for x
    x = 303,002.76/550.17
  6. Step 6: Final answer
    x = 550.74

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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.