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Finding the Fourth Proportional to 453.99, 680.58 and 180.09

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Solution

The fourth proportional to 453.99, 680.58 and 180.09 is: 269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.99 : 680.58 = 180.09 : x
  2. Step 2: Convert to fraction form
    453.99/680.58 = 180.09/x
  3. Step 3: Cross multiply
    453.99x = 680.58 × 180.09
  4. Step 4: Simplify right side
    453.99x = 122,565.65
  5. Step 5: Solve for x
    x = 122,565.65/453.99
  6. Step 6: Final answer
    x = 269.97

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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.