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Finding the Fourth Proportional to 379.28, 565.86 and 321.92

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Solution

The fourth proportional to 379.28, 565.86 and 321.92 is: 480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.28 : 565.86 = 321.92 : x
  2. Step 2: Convert to fraction form
    379.28/565.86 = 321.92/x
  3. Step 3: Cross multiply
    379.28x = 565.86 × 321.92
  4. Step 4: Simplify right side
    379.28x = 182,161.65
  5. Step 5: Solve for x
    x = 182,161.65/379.28
  6. Step 6: Final answer
    x = 480.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.