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Finding the Fourth Proportional to 408.35, 613.13 and 396.20

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Solution

The fourth proportional to 408.35, 613.13 and 396.20 is: 594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.35 : 613.13 = 396.20 : x
  2. Step 2: Convert to fraction form
    408.35/613.13 = 396.20/x
  3. Step 3: Cross multiply
    408.35x = 613.13 × 396.20
  4. Step 4: Simplify right side
    408.35x = 242,922.11
  5. Step 5: Solve for x
    x = 242,922.11/408.35
  6. Step 6: Final answer
    x = 594.89

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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.