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Finding the Fourth Proportional to 574.37, 861.77 and 209.41

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Solution

The fourth proportional to 574.37, 861.77 and 209.41 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.37 : 861.77 = 209.41 : x
  2. Step 2: Convert to fraction form
    574.37/861.77 = 209.41/x
  3. Step 3: Cross multiply
    574.37x = 861.77 × 209.41
  4. Step 4: Simplify right side
    574.37x = 180,461.62
  5. Step 5: Solve for x
    x = 180,461.62/574.37
  6. Step 6: Final answer
    x = 314.19

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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.