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Finding the Fourth Proportional to 444.56, 667.31 and 280.22

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Solution

The fourth proportional to 444.56, 667.31 and 280.22 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.56 : 667.31 = 280.22 : x
  2. Step 2: Convert to fraction form
    444.56/667.31 = 280.22/x
  3. Step 3: Cross multiply
    444.56x = 667.31 × 280.22
  4. Step 4: Simplify right side
    444.56x = 186,988.87
  5. Step 5: Solve for x
    x = 186,988.87/444.56
  6. Step 6: Final answer
    x = 420.62

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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.