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Finding the Fourth Proportional to 409.86, 614.30 and 204.48

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Solution

The fourth proportional to 409.86, 614.30 and 204.48 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 614.30 = 204.48 : x
  2. Step 2: Convert to fraction form
    409.86/614.30 = 204.48/x
  3. Step 3: Cross multiply
    409.86x = 614.30 × 204.48
  4. Step 4: Simplify right side
    409.86x = 125,611.04
  5. Step 5: Solve for x
    x = 125,611.04/409.86
  6. Step 6: Final answer
    x = 306.47

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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.