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Finding the Fourth Proportional to 447.23, 617.09 and 270.15

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Solution

The fourth proportional to 447.23, 617.09 and 270.15 is: 372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.23 : 617.09 = 270.15 : x
  2. Step 2: Convert to fraction form
    447.23/617.09 = 270.15/x
  3. Step 3: Cross multiply
    447.23x = 617.09 × 270.15
  4. Step 4: Simplify right side
    447.23x = 166,705.51
  5. Step 5: Solve for x
    x = 166,705.51/447.23
  6. Step 6: Final answer
    x = 372.76

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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.