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Finding the Fourth Proportional to 453.44, 680.90 and 280.46

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Solution

The fourth proportional to 453.44, 680.90 and 280.46 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.44 : 680.90 = 280.46 : x
  2. Step 2: Convert to fraction form
    453.44/680.90 = 280.46/x
  3. Step 3: Cross multiply
    453.44x = 680.90 × 280.46
  4. Step 4: Simplify right side
    453.44x = 190,960.41
  5. Step 5: Solve for x
    x = 190,960.41/453.44
  6. Step 6: Final answer
    x = 421.14

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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.