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Finding the Fourth Proportional to 321.74, 482.34 and 191.42

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Solution

The fourth proportional to 321.74, 482.34 and 191.42 is: 286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.74 : 482.34 = 191.42 : x
  2. Step 2: Convert to fraction form
    321.74/482.34 = 191.42/x
  3. Step 3: Cross multiply
    321.74x = 482.34 × 191.42
  4. Step 4: Simplify right side
    321.74x = 92,329.52
  5. Step 5: Solve for x
    x = 92,329.52/321.74
  6. Step 6: Final answer
    x = 286.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.