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Finding the Fourth Proportional to 549.26, 822.80 and 412.46

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Solution

The fourth proportional to 549.26, 822.80 and 412.46 is: 617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.26 : 822.80 = 412.46 : x
  2. Step 2: Convert to fraction form
    549.26/822.80 = 412.46/x
  3. Step 3: Cross multiply
    549.26x = 822.80 × 412.46
  4. Step 4: Simplify right side
    549.26x = 339,372.09
  5. Step 5: Solve for x
    x = 339,372.09/549.26
  6. Step 6: Final answer
    x = 617.87

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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.