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Finding the Fourth Proportional to 323.74, 485.34 and 193.42

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Solution

The fourth proportional to 323.74, 485.34 and 193.42 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.74 : 485.34 = 193.42 : x
  2. Step 2: Convert to fraction form
    323.74/485.34 = 193.42/x
  3. Step 3: Cross multiply
    323.74x = 485.34 × 193.42
  4. Step 4: Simplify right side
    323.74x = 93,874.46
  5. Step 5: Solve for x
    x = 93,874.46/323.74
  6. Step 6: Final answer
    x = 289.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.