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Finding the Fourth Proportional to 310.90, 428.70 and 212.71

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Solution

The fourth proportional to 310.90, 428.70 and 212.71 is: 293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.90 : 428.70 = 212.71 : x
  2. Step 2: Convert to fraction form
    310.90/428.70 = 212.71/x
  3. Step 3: Cross multiply
    310.90x = 428.70 × 212.71
  4. Step 4: Simplify right side
    310.90x = 91,188.78
  5. Step 5: Solve for x
    x = 91,188.78/310.90
  6. Step 6: Final answer
    x = 293.31

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