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Finding the Fourth Proportional to 323.59, 446.76 and 199.46

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Solution

The fourth proportional to 323.59, 446.76 and 199.46 is: 275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.59 : 446.76 = 199.46 : x
  2. Step 2: Convert to fraction form
    323.59/446.76 = 199.46/x
  3. Step 3: Cross multiply
    323.59x = 446.76 × 199.46
  4. Step 4: Simplify right side
    323.59x = 89,111.87
  5. Step 5: Solve for x
    x = 89,111.87/323.59
  6. Step 6: Final answer
    x = 275.39

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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.