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Finding the Fourth Proportional to 447.81, 671.75 and 255.03

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Solution

The fourth proportional to 447.81, 671.75 and 255.03 is: 382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.81 : 671.75 = 255.03 : x
  2. Step 2: Convert to fraction form
    447.81/671.75 = 255.03/x
  3. Step 3: Cross multiply
    447.81x = 671.75 × 255.03
  4. Step 4: Simplify right side
    447.81x = 171,315.13
  5. Step 5: Solve for x
    x = 171,315.13/447.81
  6. Step 6: Final answer
    x = 382.56

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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.