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Finding the Fourth Proportional to 447.85, 617.66 and 337.13

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Solution

The fourth proportional to 447.85, 617.66 and 337.13 is: 464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.85 : 617.66 = 337.13 : x
  2. Step 2: Convert to fraction form
    447.85/617.66 = 337.13/x
  3. Step 3: Cross multiply
    447.85x = 617.66 × 337.13
  4. Step 4: Simplify right side
    447.85x = 208,231.72
  5. Step 5: Solve for x
    x = 208,231.72/447.85
  6. Step 6: Final answer
    x = 464.96

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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.