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Finding the Fourth Proportional to 453.42, 680.39 and 209.95

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Solution

The fourth proportional to 453.42, 680.39 and 209.95 is: 315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.42 : 680.39 = 209.95 : x
  2. Step 2: Convert to fraction form
    453.42/680.39 = 209.95/x
  3. Step 3: Cross multiply
    453.42x = 680.39 × 209.95
  4. Step 4: Simplify right side
    453.42x = 142,847.88
  5. Step 5: Solve for x
    x = 142,847.88/453.42
  6. Step 6: Final answer
    x = 315.05

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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.