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Finding the Fourth Proportional to 409.23, 613.83 and 135.21

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Solution

The fourth proportional to 409.23, 613.83 and 135.21 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 613.83 = 135.21 : x
  2. Step 2: Convert to fraction form
    409.23/613.83 = 135.21/x
  3. Step 3: Cross multiply
    409.23x = 613.83 × 135.21
  4. Step 4: Simplify right side
    409.23x = 82,995.95
  5. Step 5: Solve for x
    x = 82,995.95/409.23
  6. Step 6: Final answer
    x = 202.81

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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.