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Finding the Fourth Proportional to 828.16, 1,242.44 and 308.20

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Solution

The fourth proportional to 828.16, 1,242.44 and 308.20 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.16 : 1,242.44 = 308.20 : x
  2. Step 2: Convert to fraction form
    828.16/1,242.44 = 308.20/x
  3. Step 3: Cross multiply
    828.16x = 1,242.44 × 308.20
  4. Step 4: Simplify right side
    828.16x = 382,920.01
  5. Step 5: Solve for x
    x = 382,920.01/828.16
  6. Step 6: Final answer
    x = 462.37

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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.