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Finding the Fourth Proportional to 447.57, 617.66 and 261.08

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Solution

The fourth proportional to 447.57, 617.66 and 261.08 is: 360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.57 : 617.66 = 261.08 : x
  2. Step 2: Convert to fraction form
    447.57/617.66 = 261.08/x
  3. Step 3: Cross multiply
    447.57x = 617.66 × 261.08
  4. Step 4: Simplify right side
    447.57x = 161,254.28
  5. Step 5: Solve for x
    x = 161,254.28/447.57
  6. Step 6: Final answer
    x = 360.29

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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.