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Finding the Fourth Proportional to 551.46, 827.38 and 367.10

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Solution

The fourth proportional to 551.46, 827.38 and 367.10 is: 550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.46 : 827.38 = 367.10 : x
  2. Step 2: Convert to fraction form
    551.46/827.38 = 367.10/x
  3. Step 3: Cross multiply
    551.46x = 827.38 × 367.10
  4. Step 4: Simplify right side
    551.46x = 303,730.28
  5. Step 5: Solve for x
    x = 303,730.28/551.46
  6. Step 6: Final answer
    x = 550.78

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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.