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Finding the Fourth Proportional to 382.82, 574.24 and 315.19

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Solution

The fourth proportional to 382.82, 574.24 and 315.19 is: 472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.82 : 574.24 = 315.19 : x
  2. Step 2: Convert to fraction form
    382.82/574.24 = 315.19/x
  3. Step 3: Cross multiply
    382.82x = 574.24 × 315.19
  4. Step 4: Simplify right side
    382.82x = 180,992.81
  5. Step 5: Solve for x
    x = 180,992.81/382.82
  6. Step 6: Final answer
    x = 472.78

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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.