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Finding the Fourth Proportional to 321.74, 482.12 and 213.14

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Solution

The fourth proportional to 321.74, 482.12 and 213.14 is: 319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.74 : 482.12 = 213.14 : x
  2. Step 2: Convert to fraction form
    321.74/482.12 = 213.14/x
  3. Step 3: Cross multiply
    321.74x = 482.12 × 213.14
  4. Step 4: Simplify right side
    321.74x = 102,759.06
  5. Step 5: Solve for x
    x = 102,759.06/321.74
  6. Step 6: Final answer
    x = 319.39

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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.