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Finding the Fourth Proportional to 447.89, 617.68 and 290.36

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Solution

The fourth proportional to 447.89, 617.68 and 290.36 is: 400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.89 : 617.68 = 290.36 : x
  2. Step 2: Convert to fraction form
    447.89/617.68 = 290.36/x
  3. Step 3: Cross multiply
    447.89x = 617.68 × 290.36
  4. Step 4: Simplify right side
    447.89x = 179,346.89
  5. Step 5: Solve for x
    x = 179,346.89/447.89
  6. Step 6: Final answer
    x = 400.43

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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.