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Finding the Fourth Proportional to 453.94, 680.39 and 209.96

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Solution

The fourth proportional to 453.94, 680.39 and 209.96 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.94 : 680.39 = 209.96 : x
  2. Step 2: Convert to fraction form
    453.94/680.39 = 209.96/x
  3. Step 3: Cross multiply
    453.94x = 680.39 × 209.96
  4. Step 4: Simplify right side
    453.94x = 142,851.02
  5. Step 5: Solve for x
    x = 142,851.02/453.94
  6. Step 6: Final answer
    x = 314.69

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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.