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Finding the Fourth Proportional to 574.09, 861.25 and 227.36

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Solution

The fourth proportional to 574.09, 861.25 and 227.36 is: 341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.09 : 861.25 = 227.36 : x
  2. Step 2: Convert to fraction form
    574.09/861.25 = 227.36/x
  3. Step 3: Cross multiply
    574.09x = 861.25 × 227.36
  4. Step 4: Simplify right side
    574.09x = 195,810.01
  5. Step 5: Solve for x
    x = 195,810.01/574.09
  6. Step 6: Final answer
    x = 341.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.