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Finding the Fourth Proportional to 444.83, 667.40 and 280.43

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Solution

The fourth proportional to 444.83, 667.40 and 280.43 is: 420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.83 : 667.40 = 280.43 : x
  2. Step 2: Convert to fraction form
    444.83/667.40 = 280.43/x
  3. Step 3: Cross multiply
    444.83x = 667.40 × 280.43
  4. Step 4: Simplify right side
    444.83x = 187,154.24
  5. Step 5: Solve for x
    x = 187,154.24/444.83
  6. Step 6: Final answer
    x = 420.73

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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.