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Finding the Fourth Proportional to 409.19, 613.95 and 214.34

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Solution

The fourth proportional to 409.19, 613.95 and 214.34 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 613.95 = 214.34 : x
  2. Step 2: Convert to fraction form
    409.19/613.95 = 214.34/x
  3. Step 3: Cross multiply
    409.19x = 613.95 × 214.34
  4. Step 4: Simplify right side
    409.19x = 131,590.97
  5. Step 5: Solve for x
    x = 131,590.97/409.19
  6. Step 6: Final answer
    x = 321.59

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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.