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Finding the Fourth Proportional to 563.14, 843.49 and 549.37

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Solution

The fourth proportional to 563.14, 843.49 and 549.37 is: 822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.14 : 843.49 = 549.37 : x
  2. Step 2: Convert to fraction form
    563.14/843.49 = 549.37/x
  3. Step 3: Cross multiply
    563.14x = 843.49 × 549.37
  4. Step 4: Simplify right side
    563.14x = 463,388.10
  5. Step 5: Solve for x
    x = 463,388.10/563.14
  6. Step 6: Final answer
    x = 822.86

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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.