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Finding the Fourth Proportional to 408.83, 612.64 and 244.13

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Solution

The fourth proportional to 408.83, 612.64 and 244.13 is: 365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.83 : 612.64 = 244.13 : x
  2. Step 2: Convert to fraction form
    408.83/612.64 = 244.13/x
  3. Step 3: Cross multiply
    408.83x = 612.64 × 244.13
  4. Step 4: Simplify right side
    408.83x = 149,563.80
  5. Step 5: Solve for x
    x = 149,563.80/408.83
  6. Step 6: Final answer
    x = 365.83

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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.