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Finding the Fourth Proportional to 447.83, 617.22 and 337.26

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Solution

The fourth proportional to 447.83, 617.22 and 337.26 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.83 : 617.22 = 337.26 : x
  2. Step 2: Convert to fraction form
    447.83/617.22 = 337.26/x
  3. Step 3: Cross multiply
    447.83x = 617.22 × 337.26
  4. Step 4: Simplify right side
    447.83x = 208,165.93
  5. Step 5: Solve for x
    x = 208,165.93/447.83
  6. Step 6: Final answer
    x = 464.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.