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Finding the Fourth Proportional to 409.26, 613.83 and 135.33

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Solution

The fourth proportional to 409.26, 613.83 and 135.33 is: 202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 613.83 = 135.33 : x
  2. Step 2: Convert to fraction form
    409.26/613.83 = 135.33/x
  3. Step 3: Cross multiply
    409.26x = 613.83 × 135.33
  4. Step 4: Simplify right side
    409.26x = 83,069.61
  5. Step 5: Solve for x
    x = 83,069.61/409.26
  6. Step 6: Final answer
    x = 202.98

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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.