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Finding the Fourth Proportional to 321.34, 481.24 and 205.42

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Solution

The fourth proportional to 321.34, 481.24 and 205.42 is: 307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.34 : 481.24 = 205.42 : x
  2. Step 2: Convert to fraction form
    321.34/481.24 = 205.42/x
  3. Step 3: Cross multiply
    321.34x = 481.24 × 205.42
  4. Step 4: Simplify right side
    321.34x = 98,856.32
  5. Step 5: Solve for x
    x = 98,856.32/321.34
  6. Step 6: Final answer
    x = 307.64

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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.