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Finding the Fourth Proportional to 447.35, 671.39 and 382.76

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Solution

The fourth proportional to 447.35, 671.39 and 382.76 is: 574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.35 : 671.39 = 382.76 : x
  2. Step 2: Convert to fraction form
    447.35/671.39 = 382.76/x
  3. Step 3: Cross multiply
    447.35x = 671.39 × 382.76
  4. Step 4: Simplify right side
    447.35x = 256,979.92
  5. Step 5: Solve for x
    x = 256,979.92/447.35
  6. Step 6: Final answer
    x = 574.45

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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.