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Finding the Fourth Proportional to 447.38, 670.38 and 284.57

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Solution

The fourth proportional to 447.38, 670.38 and 284.57 is: 426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.38 : 670.38 = 284.57 : x
  2. Step 2: Convert to fraction form
    447.38/670.38 = 284.57/x
  3. Step 3: Cross multiply
    447.38x = 670.38 × 284.57
  4. Step 4: Simplify right side
    447.38x = 190,770.04
  5. Step 5: Solve for x
    x = 190,770.04/447.38
  6. Step 6: Final answer
    x = 426.42

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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.