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Finding the Fourth Proportional to 574.68, 861.52 and 209.23

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Solution

The fourth proportional to 574.68, 861.52 and 209.23 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 861.52 = 209.23 : x
  2. Step 2: Convert to fraction form
    574.68/861.52 = 209.23/x
  3. Step 3: Cross multiply
    574.68x = 861.52 × 209.23
  4. Step 4: Simplify right side
    574.68x = 180,255.31
  5. Step 5: Solve for x
    x = 180,255.31/574.68
  6. Step 6: Final answer
    x = 313.66

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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.