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Finding the Fourth Proportional to 310.41, 428.04 and 205.44

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Solution

The fourth proportional to 310.41, 428.04 and 205.44 is: 283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.41 : 428.04 = 205.44 : x
  2. Step 2: Convert to fraction form
    310.41/428.04 = 205.44/x
  3. Step 3: Cross multiply
    310.41x = 428.04 × 205.44
  4. Step 4: Simplify right side
    310.41x = 87,936.54
  5. Step 5: Solve for x
    x = 87,936.54/310.41
  6. Step 6: Final answer
    x = 283.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.