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Finding the Fourth Proportional to 409.61, 613.92 and 204.23

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Solution

The fourth proportional to 409.61, 613.92 and 204.23 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.61 : 613.92 = 204.23 : x
  2. Step 2: Convert to fraction form
    409.61/613.92 = 204.23/x
  3. Step 3: Cross multiply
    409.61x = 613.92 × 204.23
  4. Step 4: Simplify right side
    409.61x = 125,380.88
  5. Step 5: Solve for x
    x = 125,380.88/409.61
  6. Step 6: Final answer
    x = 306.10

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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.