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Finding the Fourth Proportional to 321.88, 482.28 and 205.96

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Solution

The fourth proportional to 321.88, 482.28 and 205.96 is: 308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.88 : 482.28 = 205.96 : x
  2. Step 2: Convert to fraction form
    321.88/482.28 = 205.96/x
  3. Step 3: Cross multiply
    321.88x = 482.28 × 205.96
  4. Step 4: Simplify right side
    321.88x = 99,330.39
  5. Step 5: Solve for x
    x = 99,330.39/321.88
  6. Step 6: Final answer
    x = 308.59

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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.