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Finding the Fourth Proportional to 818.05, 1,226.62 and 270.19

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Solution

The fourth proportional to 818.05, 1,226.62 and 270.19 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.05 : 1,226.62 = 270.19 : x
  2. Step 2: Convert to fraction form
    818.05/1,226.62 = 270.19/x
  3. Step 3: Cross multiply
    818.05x = 1,226.62 × 270.19
  4. Step 4: Simplify right side
    818.05x = 331,420.46
  5. Step 5: Solve for x
    x = 331,420.46/818.05
  6. Step 6: Final answer
    x = 405.13

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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.