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Finding the Fourth Proportional to 409.10, 613.20 and 214.03

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Solution

The fourth proportional to 409.10, 613.20 and 214.03 is: 320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 613.20 = 214.03 : x
  2. Step 2: Convert to fraction form
    409.10/613.20 = 214.03/x
  3. Step 3: Cross multiply
    409.10x = 613.20 × 214.03
  4. Step 4: Simplify right side
    409.10x = 131,243.20
  5. Step 5: Solve for x
    x = 131,243.20/409.10
  6. Step 6: Final answer
    x = 320.81

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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.