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Finding the Fourth Proportional to 447.37, 617.31 and 260.83

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Solution

The fourth proportional to 447.37, 617.31 and 260.83 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.37 : 617.31 = 260.83 : x
  2. Step 2: Convert to fraction form
    447.37/617.31 = 260.83/x
  3. Step 3: Cross multiply
    447.37x = 617.31 × 260.83
  4. Step 4: Simplify right side
    447.37x = 161,012.97
  5. Step 5: Solve for x
    x = 161,012.97/447.37
  6. Step 6: Final answer
    x = 359.91

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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.