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Finding the Fourth Proportional to 453.69, 680.50 and 206.91

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Solution

The fourth proportional to 453.69, 680.50 and 206.91 is: 310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 680.50 = 206.91 : x
  2. Step 2: Convert to fraction form
    453.69/680.50 = 206.91/x
  3. Step 3: Cross multiply
    453.69x = 680.50 × 206.91
  4. Step 4: Simplify right side
    453.69x = 140,803.65
  5. Step 5: Solve for x
    x = 140,803.65/453.69
  6. Step 6: Final answer
    x = 310.35

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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.