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Finding the Fourth Proportional to 321.10, 481.76 and 205.64

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Solution

The fourth proportional to 321.10, 481.76 and 205.64 is: 308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.10 : 481.76 = 205.64 : x
  2. Step 2: Convert to fraction form
    321.10/481.76 = 205.64/x
  3. Step 3: Cross multiply
    321.10x = 481.76 × 205.64
  4. Step 4: Simplify right side
    321.10x = 99,069.13
  5. Step 5: Solve for x
    x = 99,069.13/321.10
  6. Step 6: Final answer
    x = 308.53

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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.