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Finding the Fourth Proportional to 828.14, 1,242.28 and 308.12

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Solution

The fourth proportional to 828.14, 1,242.28 and 308.12 is: 462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,242.28 = 308.12 : x
  2. Step 2: Convert to fraction form
    828.14/1,242.28 = 308.12/x
  3. Step 3: Cross multiply
    828.14x = 1,242.28 × 308.12
  4. Step 4: Simplify right side
    828.14x = 382,771.31
  5. Step 5: Solve for x
    x = 382,771.31/828.14
  6. Step 6: Final answer
    x = 462.21

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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.