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Finding the Fourth Proportional to 818.22, 1,226.91 and 270.22

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Solution

The fourth proportional to 818.22, 1,226.91 and 270.22 is: 405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.22 : 1,226.91 = 270.22 : x
  2. Step 2: Convert to fraction form
    818.22/1,226.91 = 270.22/x
  3. Step 3: Cross multiply
    818.22x = 1,226.91 × 270.22
  4. Step 4: Simplify right side
    818.22x = 331,535.87
  5. Step 5: Solve for x
    x = 331,535.87/818.22
  6. Step 6: Final answer
    x = 405.19

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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.