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Finding the Fourth Proportional to 441.92, 609.48 and 310.96

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Solution

The fourth proportional to 441.92, 609.48 and 310.96 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 609.48 = 310.96 : x
  2. Step 2: Convert to fraction form
    441.92/609.48 = 310.96/x
  3. Step 3: Cross multiply
    441.92x = 609.48 × 310.96
  4. Step 4: Simplify right side
    441.92x = 189,523.90
  5. Step 5: Solve for x
    x = 189,523.90/441.92
  6. Step 6: Final answer
    x = 428.86

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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.