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Finding the Fourth Proportional to 321.91, 444.07 and 309.49

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Solution

The fourth proportional to 321.91, 444.07 and 309.49 is: 426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.91 : 444.07 = 309.49 : x
  2. Step 2: Convert to fraction form
    321.91/444.07 = 309.49/x
  3. Step 3: Cross multiply
    321.91x = 444.07 × 309.49
  4. Step 4: Simplify right side
    321.91x = 137,435.22
  5. Step 5: Solve for x
    x = 137,435.22/321.91
  6. Step 6: Final answer
    x = 426.94

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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.