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Finding the Fourth Proportional to 447.99, 617.82 and 290.47

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Solution

The fourth proportional to 447.99, 617.82 and 290.47 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.99 : 617.82 = 290.47 : x
  2. Step 2: Convert to fraction form
    447.99/617.82 = 290.47/x
  3. Step 3: Cross multiply
    447.99x = 617.82 × 290.47
  4. Step 4: Simplify right side
    447.99x = 179,458.33
  5. Step 5: Solve for x
    x = 179,458.33/447.99
  6. Step 6: Final answer
    x = 400.58

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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.