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Finding the Fourth Proportional to 600.31, 828.43 and 324.31

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Solution

The fourth proportional to 600.31, 828.43 and 324.31 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.31 : 828.43 = 324.31 : x
  2. Step 2: Convert to fraction form
    600.31/828.43 = 324.31/x
  3. Step 3: Cross multiply
    600.31x = 828.43 × 324.31
  4. Step 4: Simplify right side
    600.31x = 268,670.61
  5. Step 5: Solve for x
    x = 268,670.61/600.31
  6. Step 6: Final answer
    x = 447.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.