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Finding the Fourth Proportional to 818.26, 1,226.91 and 331.02

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Solution

The fourth proportional to 818.26, 1,226.91 and 331.02 is: 496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.26 : 1,226.91 = 331.02 : x
  2. Step 2: Convert to fraction form
    818.26/1,226.91 = 331.02/x
  3. Step 3: Cross multiply
    818.26x = 1,226.91 × 331.02
  4. Step 4: Simplify right side
    818.26x = 406,131.75
  5. Step 5: Solve for x
    x = 406,131.75/818.26
  6. Step 6: Final answer
    x = 496.34

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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.