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Finding the Fourth Proportional to 453.78, 680.46 and 180

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Solution

The fourth proportional to 453.78, 680.46 and 180 is: 269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.78 : 680.46 = 180 : x
  2. Step 2: Convert to fraction form
    453.78/680.46 = 180/x
  3. Step 3: Cross multiply
    453.78x = 680.46 × 180
  4. Step 4: Simplify right side
    453.78x = 122,482.80
  5. Step 5: Solve for x
    x = 122,482.80/453.78
  6. Step 6: Final answer
    x = 269.92

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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.