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Finding the Fourth Proportional to 843.84, 1,265.60 and 227.40

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Solution

The fourth proportional to 843.84, 1,265.60 and 227.40 is: 341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,265.60 = 227.40 : x
  2. Step 2: Convert to fraction form
    843.84/1,265.60 = 227.40/x
  3. Step 3: Cross multiply
    843.84x = 1,265.60 × 227.40
  4. Step 4: Simplify right side
    843.84x = 287,794.28
  5. Step 5: Solve for x
    x = 287,794.28/843.84
  6. Step 6: Final answer
    x = 341.06

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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.