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Finding the Fourth Proportional to 563.11, 844.07 and 216.35

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Solution

The fourth proportional to 563.11, 844.07 and 216.35 is: 324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.11 : 844.07 = 216.35 : x
  2. Step 2: Convert to fraction form
    563.11/844.07 = 216.35/x
  3. Step 3: Cross multiply
    563.11x = 844.07 × 216.35
  4. Step 4: Simplify right side
    563.11x = 182,610.87
  5. Step 5: Solve for x
    x = 182,610.87/563.11
  6. Step 6: Final answer
    x = 324.29

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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.