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Finding the Fourth Proportional to 453.27, 680.10 and 209.66

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Solution

The fourth proportional to 453.27, 680.10 and 209.66 is: 314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.27 : 680.10 = 209.66 : x
  2. Step 2: Convert to fraction form
    453.27/680.10 = 209.66/x
  3. Step 3: Cross multiply
    453.27x = 680.10 × 209.66
  4. Step 4: Simplify right side
    453.27x = 142,589.77
  5. Step 5: Solve for x
    x = 142,589.77/453.27
  6. Step 6: Final answer
    x = 314.58

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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.