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Finding the Fourth Proportional to 828.34, 1,241.73 and 308.21

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Solution

The fourth proportional to 828.34, 1,241.73 and 308.21 is: 462.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,241.73 = 308.21 : x
  2. Step 2: Convert to fraction form
    828.34/1,241.73 = 308.21/x
  3. Step 3: Cross multiply
    828.34x = 1,241.73 × 308.21
  4. Step 4: Simplify right side
    828.34x = 382,707.39
  5. Step 5: Solve for x
    x = 382,707.39/828.34
  6. Step 6: Final answer
    x = 462.02

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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.