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Finding the Fourth Proportional to 410.32, 614.91 and 204.43

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Solution

The fourth proportional to 410.32, 614.91 and 204.43 is: 306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.32 : 614.91 = 204.43 : x
  2. Step 2: Convert to fraction form
    410.32/614.91 = 204.43/x
  3. Step 3: Cross multiply
    410.32x = 614.91 × 204.43
  4. Step 4: Simplify right side
    410.32x = 125,706.05
  5. Step 5: Solve for x
    x = 125,706.05/410.32
  6. Step 6: Final answer
    x = 306.36

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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.