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Finding the Fourth Proportional to 409.07, 613.64 and 135.05

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Solution

The fourth proportional to 409.07, 613.64 and 135.05 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.07 : 613.64 = 135.05 : x
  2. Step 2: Convert to fraction form
    409.07/613.64 = 135.05/x
  3. Step 3: Cross multiply
    409.07x = 613.64 × 135.05
  4. Step 4: Simplify right side
    409.07x = 82,872.80
  5. Step 5: Solve for x
    x = 82,872.80/409.07
  6. Step 6: Final answer
    x = 202.59

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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.