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Finding the Fourth Proportional to 319.68, 441.32 and 298.96

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Solution

The fourth proportional to 319.68, 441.32 and 298.96 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 441.32 = 298.96 : x
  2. Step 2: Convert to fraction form
    319.68/441.32 = 298.96/x
  3. Step 3: Cross multiply
    319.68x = 441.32 × 298.96
  4. Step 4: Simplify right side
    319.68x = 131,934.43
  5. Step 5: Solve for x
    x = 131,934.43/319.68
  6. Step 6: Final answer
    x = 412.71

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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.