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Finding the Fourth Proportional to 828.86, 1,242.41 and 308.53

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Solution

The fourth proportional to 828.86, 1,242.41 and 308.53 is: 462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.86 : 1,242.41 = 308.53 : x
  2. Step 2: Convert to fraction form
    828.86/1,242.41 = 308.53/x
  3. Step 3: Cross multiply
    828.86x = 1,242.41 × 308.53
  4. Step 4: Simplify right side
    828.86x = 383,320.76
  5. Step 5: Solve for x
    x = 383,320.76/828.86
  6. Step 6: Final answer
    x = 462.47

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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.