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Finding the Fourth Proportional to 409.97, 614.96 and 193.43

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Solution

The fourth proportional to 409.97, 614.96 and 193.43 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 614.96 = 193.43 : x
  2. Step 2: Convert to fraction form
    409.97/614.96 = 193.43/x
  3. Step 3: Cross multiply
    409.97x = 614.96 × 193.43
  4. Step 4: Simplify right side
    409.97x = 118,951.71
  5. Step 5: Solve for x
    x = 118,951.71/409.97
  6. Step 6: Final answer
    x = 290.15

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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.