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Finding the Fourth Proportional to 574.05, 861.09 and 208.80

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Solution

The fourth proportional to 574.05, 861.09 and 208.80 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.05 : 861.09 = 208.80 : x
  2. Step 2: Convert to fraction form
    574.05/861.09 = 208.80/x
  3. Step 3: Cross multiply
    574.05x = 861.09 × 208.80
  4. Step 4: Simplify right side
    574.05x = 179,795.59
  5. Step 5: Solve for x
    x = 179,795.59/574.05
  6. Step 6: Final answer
    x = 313.21

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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.