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Finding the Fourth Proportional to 409.10, 613.69 and 135.21

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Solution

The fourth proportional to 409.10, 613.69 and 135.21 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.10 : 613.69 = 135.21 : x
  2. Step 2: Convert to fraction form
    409.10/613.69 = 135.21/x
  3. Step 3: Cross multiply
    409.10x = 613.69 × 135.21
  4. Step 4: Simplify right side
    409.10x = 82,977.02
  5. Step 5: Solve for x
    x = 82,977.02/409.10
  6. Step 6: Final answer
    x = 202.83

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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.