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Finding the Fourth Proportional to 447.56, 617.60 and 261.02

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Solution

The fourth proportional to 447.56, 617.60 and 261.02 is: 360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.56 : 617.60 = 261.02 : x
  2. Step 2: Convert to fraction form
    447.56/617.60 = 261.02/x
  3. Step 3: Cross multiply
    447.56x = 617.60 × 261.02
  4. Step 4: Simplify right side
    447.56x = 161,205.95
  5. Step 5: Solve for x
    x = 161,205.95/447.56
  6. Step 6: Final answer
    x = 360.19

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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.