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Finding the Fourth Proportional to 447.44, 617.37 and 260.85

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Solution

The fourth proportional to 447.44, 617.37 and 260.85 is: 359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.44 : 617.37 = 260.85 : x
  2. Step 2: Convert to fraction form
    447.44/617.37 = 260.85/x
  3. Step 3: Cross multiply
    447.44x = 617.37 × 260.85
  4. Step 4: Simplify right side
    447.44x = 161,040.96
  5. Step 5: Solve for x
    x = 161,040.96/447.44
  6. Step 6: Final answer
    x = 359.92

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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.