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Finding the Fourth Proportional to 382.22, 571.86 and 319.85

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Solution

The fourth proportional to 382.22, 571.86 and 319.85 is: 478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 571.86 = 319.85 : x
  2. Step 2: Convert to fraction form
    382.22/571.86 = 319.85/x
  3. Step 3: Cross multiply
    382.22x = 571.86 × 319.85
  4. Step 4: Simplify right side
    382.22x = 182,908.71
  5. Step 5: Solve for x
    x = 182,908.71/382.22
  6. Step 6: Final answer
    x = 478.54

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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.