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Finding the Fourth Proportional to 444.41, 665.43 and 306.84

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Solution

The fourth proportional to 444.41, 665.43 and 306.84 is: 459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.41 : 665.43 = 306.84 : x
  2. Step 2: Convert to fraction form
    444.41/665.43 = 306.84/x
  3. Step 3: Cross multiply
    444.41x = 665.43 × 306.84
  4. Step 4: Simplify right side
    444.41x = 204,180.54
  5. Step 5: Solve for x
    x = 204,180.54/444.41
  6. Step 6: Final answer
    x = 459.44

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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.