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Finding the Fourth Proportional to 818.56, 1,226.64 and 331.36

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Solution

The fourth proportional to 818.56, 1,226.64 and 331.36 is: 496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.56 : 1,226.64 = 331.36 : x
  2. Step 2: Convert to fraction form
    818.56/1,226.64 = 331.36/x
  3. Step 3: Cross multiply
    818.56x = 1,226.64 × 331.36
  4. Step 4: Simplify right side
    818.56x = 406,459.43
  5. Step 5: Solve for x
    x = 406,459.43/818.56
  6. Step 6: Final answer
    x = 496.55

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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.