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Finding the Fourth Proportional to 942.79, 1,414.32 and 326.33

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Solution

The fourth proportional to 942.79, 1,414.32 and 326.33 is: 489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.79 : 1,414.32 = 326.33 : x
  2. Step 2: Convert to fraction form
    942.79/1,414.32 = 326.33/x
  3. Step 3: Cross multiply
    942.79x = 1,414.32 × 326.33
  4. Step 4: Simplify right side
    942.79x = 461,533.41
  5. Step 5: Solve for x
    x = 461,533.41/942.79
  6. Step 6: Final answer
    x = 489.54

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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.