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Finding the Fourth Proportional to 574.22, 861.60 and 209.08

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Solution

The fourth proportional to 574.22, 861.60 and 209.08 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.22 : 861.60 = 209.08 : x
  2. Step 2: Convert to fraction form
    574.22/861.60 = 209.08/x
  3. Step 3: Cross multiply
    574.22x = 861.60 × 209.08
  4. Step 4: Simplify right side
    574.22x = 180,143.33
  5. Step 5: Solve for x
    x = 180,143.33/574.22
  6. Step 6: Final answer
    x = 313.72

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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.