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Finding the Fourth Proportional to 409.38, 613.45 and 214.30

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Solution

The fourth proportional to 409.38, 613.45 and 214.30 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.38 : 613.45 = 214.30 : x
  2. Step 2: Convert to fraction form
    409.38/613.45 = 214.30/x
  3. Step 3: Cross multiply
    409.38x = 613.45 × 214.30
  4. Step 4: Simplify right side
    409.38x = 131,462.34
  5. Step 5: Solve for x
    x = 131,462.34/409.38
  6. Step 6: Final answer
    x = 321.13

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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.