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Finding the Fourth Proportional to 409.16, 613.78 and 135.27

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Solution

The fourth proportional to 409.16, 613.78 and 135.27 is: 202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.16 : 613.78 = 135.27 : x
  2. Step 2: Convert to fraction form
    409.16/613.78 = 135.27/x
  3. Step 3: Cross multiply
    409.16x = 613.78 × 135.27
  4. Step 4: Simplify right side
    409.16x = 83,025.68
  5. Step 5: Solve for x
    x = 83,025.68/409.16
  6. Step 6: Final answer
    x = 202.92

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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.