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Finding the Fourth Proportional to 409.27, 613.52 and 135.30

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Solution

The fourth proportional to 409.27, 613.52 and 135.30 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.27 : 613.52 = 135.30 : x
  2. Step 2: Convert to fraction form
    409.27/613.52 = 135.30/x
  3. Step 3: Cross multiply
    409.27x = 613.52 × 135.30
  4. Step 4: Simplify right side
    409.27x = 83,009.56
  5. Step 5: Solve for x
    x = 83,009.56/409.27
  6. Step 6: Final answer
    x = 202.82

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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.