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Finding the Fourth Proportional to 409.05, 614.22 and 351.91

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Solution

The fourth proportional to 409.05, 614.22 and 351.91 is: 528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.05 : 614.22 = 351.91 : x
  2. Step 2: Convert to fraction form
    409.05/614.22 = 351.91/x
  3. Step 3: Cross multiply
    409.05x = 614.22 × 351.91
  4. Step 4: Simplify right side
    409.05x = 216,149.61
  5. Step 5: Solve for x
    x = 216,149.61/409.05
  6. Step 6: Final answer
    x = 528.42

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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.