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Finding the Fourth Proportional to 453.65, 680.54 and 209.97

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Solution

The fourth proportional to 453.65, 680.54 and 209.97 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.65 : 680.54 = 209.97 : x
  2. Step 2: Convert to fraction form
    453.65/680.54 = 209.97/x
  3. Step 3: Cross multiply
    453.65x = 680.54 × 209.97
  4. Step 4: Simplify right side
    453.65x = 142,891.93
  5. Step 5: Solve for x
    x = 142,891.93/453.65
  6. Step 6: Final answer
    x = 314.99

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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.