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Finding the Fourth Proportional to 447.48, 617.60 and 260.96

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Solution

The fourth proportional to 447.48, 617.60 and 260.96 is: 360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.48 : 617.60 = 260.96 : x
  2. Step 2: Convert to fraction form
    447.48/617.60 = 260.96/x
  3. Step 3: Cross multiply
    447.48x = 617.60 × 260.96
  4. Step 4: Simplify right side
    447.48x = 161,171.09
  5. Step 5: Solve for x
    x = 161,171.09/447.48
  6. Step 6: Final answer
    x = 360.17

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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.