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Finding the Fourth Proportional to 409.27, 614.31 and 193

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Solution

The fourth proportional to 409.27, 614.31 and 193 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.27 : 614.31 = 193 : x
  2. Step 2: Convert to fraction form
    409.27/614.31 = 193/x
  3. Step 3: Cross multiply
    409.27x = 614.31 × 193
  4. Step 4: Simplify right side
    409.27x = 118,561.83
  5. Step 5: Solve for x
    x = 118,561.83/409.27
  6. Step 6: Final answer
    x = 289.69

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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.