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Finding the Fourth Proportional to 310.51, 428.29 and 212.09

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Solution

The fourth proportional to 310.51, 428.29 and 212.09 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 428.29 = 212.09 : x
  2. Step 2: Convert to fraction form
    310.51/428.29 = 212.09/x
  3. Step 3: Cross multiply
    310.51x = 428.29 × 212.09
  4. Step 4: Simplify right side
    310.51x = 90,836.97
  5. Step 5: Solve for x
    x = 90,836.97/310.51
  6. Step 6: Final answer
    x = 292.54

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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.