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Finding the Fourth Proportional to 310.29, 428.22 and 205.31

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Solution

The fourth proportional to 310.29, 428.22 and 205.31 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.29 : 428.22 = 205.31 : x
  2. Step 2: Convert to fraction form
    310.29/428.22 = 205.31/x
  3. Step 3: Cross multiply
    310.29x = 428.22 × 205.31
  4. Step 4: Simplify right side
    310.29x = 87,917.85
  5. Step 5: Solve for x
    x = 87,917.85/310.29
  6. Step 6: Final answer
    x = 283.34

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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.