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Finding the Fourth Proportional to 574.10, 861.15 and 208.88

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Solution

The fourth proportional to 574.10, 861.15 and 208.88 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.10 : 861.15 = 208.88 : x
  2. Step 2: Convert to fraction form
    574.10/861.15 = 208.88/x
  3. Step 3: Cross multiply
    574.10x = 861.15 × 208.88
  4. Step 4: Simplify right side
    574.10x = 179,876.72
  5. Step 5: Solve for x
    x = 179,876.72/574.10
  6. Step 6: Final answer
    x = 313.32

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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.