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Finding the Fourth Proportional to 323.71, 485.49 and 193.70

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Solution

The fourth proportional to 323.71, 485.49 and 193.70 is: 290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.71 : 485.49 = 193.70 : x
  2. Step 2: Convert to fraction form
    323.71/485.49 = 193.70/x
  3. Step 3: Cross multiply
    323.71x = 485.49 × 193.70
  4. Step 4: Simplify right side
    323.71x = 94,039.41
  5. Step 5: Solve for x
    x = 94,039.41/323.71
  6. Step 6: Final answer
    x = 290.51

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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.