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Finding the Fourth Proportional to 408.41, 612.70 and 134.53

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Solution

The fourth proportional to 408.41, 612.70 and 134.53 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.41 : 612.70 = 134.53 : x
  2. Step 2: Convert to fraction form
    408.41/612.70 = 134.53/x
  3. Step 3: Cross multiply
    408.41x = 612.70 × 134.53
  4. Step 4: Simplify right side
    408.41x = 82,426.53
  5. Step 5: Solve for x
    x = 82,426.53/408.41
  6. Step 6: Final answer
    x = 201.82

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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.