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Finding the Fourth Proportional to 453.91, 680.94 and 180.01

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Solution

The fourth proportional to 453.91, 680.94 and 180.01 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.91 : 680.94 = 180.01 : x
  2. Step 2: Convert to fraction form
    453.91/680.94 = 180.01/x
  3. Step 3: Cross multiply
    453.91x = 680.94 × 180.01
  4. Step 4: Simplify right side
    453.91x = 122,576.01
  5. Step 5: Solve for x
    x = 122,576.01/453.91
  6. Step 6: Final answer
    x = 270.04

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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.