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Finding the Fourth Proportional to 563.05, 843.67 and 399.94

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Solution

The fourth proportional to 563.05, 843.67 and 399.94 is: 599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.05 : 843.67 = 399.94 : x
  2. Step 2: Convert to fraction form
    563.05/843.67 = 399.94/x
  3. Step 3: Cross multiply
    563.05x = 843.67 × 399.94
  4. Step 4: Simplify right side
    563.05x = 337,413.52
  5. Step 5: Solve for x
    x = 337,413.52/563.05
  6. Step 6: Final answer
    x = 599.26

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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.