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Finding the Fourth Proportional to 313.96, 471.12 and 205.78

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Solution

The fourth proportional to 313.96, 471.12 and 205.78 is: 308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 471.12 = 205.78 : x
  2. Step 2: Convert to fraction form
    313.96/471.12 = 205.78/x
  3. Step 3: Cross multiply
    313.96x = 471.12 × 205.78
  4. Step 4: Simplify right side
    313.96x = 96,947.07
  5. Step 5: Solve for x
    x = 96,947.07/313.96
  6. Step 6: Final answer
    x = 308.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.