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Finding the Fourth Proportional to 323.68, 446 and 309.12

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Solution

The fourth proportional to 323.68, 446 and 309.12 is: 425.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.68 : 446 = 309.12 : x
  2. Step 2: Convert to fraction form
    323.68/446 = 309.12/x
  3. Step 3: Cross multiply
    323.68x = 446 × 309.12
  4. Step 4: Simplify right side
    323.68x = 137,867.52
  5. Step 5: Solve for x
    x = 137,867.52/323.68
  6. Step 6: Final answer
    x = 425.94

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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.