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Finding the Fourth Proportional to 447.62, 617.70 and 261.17

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Solution

The fourth proportional to 447.62, 617.70 and 261.17 is: 360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.62 : 617.70 = 261.17 : x
  2. Step 2: Convert to fraction form
    447.62/617.70 = 261.17/x
  3. Step 3: Cross multiply
    447.62x = 617.70 × 261.17
  4. Step 4: Simplify right side
    447.62x = 161,324.71
  5. Step 5: Solve for x
    x = 161,324.71/447.62
  6. Step 6: Final answer
    x = 360.41

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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.