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Finding the Fourth Proportional to 327.49, 450.91 and 309.44

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Solution

The fourth proportional to 327.49, 450.91 and 309.44 is: 426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.49 : 450.91 = 309.44 : x
  2. Step 2: Convert to fraction form
    327.49/450.91 = 309.44/x
  3. Step 3: Cross multiply
    327.49x = 450.91 × 309.44
  4. Step 4: Simplify right side
    327.49x = 139,529.59
  5. Step 5: Solve for x
    x = 139,529.59/327.49
  6. Step 6: Final answer
    x = 426.06

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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.