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Finding the Fourth Proportional to 447.08, 617.26 and 364.39

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Solution

The fourth proportional to 447.08, 617.26 and 364.39 is: 503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 617.26 = 364.39 : x
  2. Step 2: Convert to fraction form
    447.08/617.26 = 364.39/x
  3. Step 3: Cross multiply
    447.08x = 617.26 × 364.39
  4. Step 4: Simplify right side
    447.08x = 224,919.37
  5. Step 5: Solve for x
    x = 224,919.37/447.08
  6. Step 6: Final answer
    x = 503.09

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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.