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Finding the Fourth Proportional to 409.77, 614.37 and 214.65

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Solution

The fourth proportional to 409.77, 614.37 and 214.65 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.77 : 614.37 = 214.65 : x
  2. Step 2: Convert to fraction form
    409.77/614.37 = 214.65/x
  3. Step 3: Cross multiply
    409.77x = 614.37 × 214.65
  4. Step 4: Simplify right side
    409.77x = 131,874.52
  5. Step 5: Solve for x
    x = 131,874.52/409.77
  6. Step 6: Final answer
    x = 321.83

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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.