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Finding the Fourth Proportional to 574.23, 861.53 and 227.65

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Solution

The fourth proportional to 574.23, 861.53 and 227.65 is: 341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.23 : 861.53 = 227.65 : x
  2. Step 2: Convert to fraction form
    574.23/861.53 = 227.65/x
  3. Step 3: Cross multiply
    574.23x = 861.53 × 227.65
  4. Step 4: Simplify right side
    574.23x = 196,127.30
  5. Step 5: Solve for x
    x = 196,127.30/574.23
  6. Step 6: Final answer
    x = 341.55

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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.