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Finding the Fourth Proportional to 574.22, 861.18 and 208.94

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Solution

The fourth proportional to 574.22, 861.18 and 208.94 is: 313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.22 : 861.18 = 208.94 : x
  2. Step 2: Convert to fraction form
    574.22/861.18 = 208.94/x
  3. Step 3: Cross multiply
    574.22x = 861.18 × 208.94
  4. Step 4: Simplify right side
    574.22x = 179,934.95
  5. Step 5: Solve for x
    x = 179,934.95/574.22
  6. Step 6: Final answer
    x = 313.36

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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.