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Finding the Fourth Proportional to 447.33, 617.34 and 260.79

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Solution

The fourth proportional to 447.33, 617.34 and 260.79 is: 359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.33 : 617.34 = 260.79 : x
  2. Step 2: Convert to fraction form
    447.33/617.34 = 260.79/x
  3. Step 3: Cross multiply
    447.33x = 617.34 × 260.79
  4. Step 4: Simplify right side
    447.33x = 160,997.44
  5. Step 5: Solve for x
    x = 160,997.44/447.33
  6. Step 6: Final answer
    x = 359.90

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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.