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Finding the Fourth Proportional to 408.14, 611.49 and 286.16

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Solution

The fourth proportional to 408.14, 611.49 and 286.16 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.14 : 611.49 = 286.16 : x
  2. Step 2: Convert to fraction form
    408.14/611.49 = 286.16/x
  3. Step 3: Cross multiply
    408.14x = 611.49 × 286.16
  4. Step 4: Simplify right side
    408.14x = 174,983.98
  5. Step 5: Solve for x
    x = 174,983.98/408.14
  6. Step 6: Final answer
    x = 428.74

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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.