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Finding the Fourth Proportional to 310.41, 428.54 and 212.31

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Solution

The fourth proportional to 310.41, 428.54 and 212.31 is: 293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.41 : 428.54 = 212.31 : x
  2. Step 2: Convert to fraction form
    310.41/428.54 = 212.31/x
  3. Step 3: Cross multiply
    310.41x = 428.54 × 212.31
  4. Step 4: Simplify right side
    310.41x = 90,982.27
  5. Step 5: Solve for x
    x = 90,982.27/310.41
  6. Step 6: Final answer
    x = 293.10

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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.