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Finding the Fourth Proportional to 310.68, 429.12 and 212.76

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Solution

The fourth proportional to 310.68, 429.12 and 212.76 is: 293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.68 : 429.12 = 212.76 : x
  2. Step 2: Convert to fraction form
    310.68/429.12 = 212.76/x
  3. Step 3: Cross multiply
    310.68x = 429.12 × 212.76
  4. Step 4: Simplify right side
    310.68x = 91,299.57
  5. Step 5: Solve for x
    x = 91,299.57/310.68
  6. Step 6: Final answer
    x = 293.87

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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.