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Finding the Fourth Proportional to 942.74, 1,413.96 and 326.42

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Solution

The fourth proportional to 942.74, 1,413.96 and 326.42 is: 489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.74 : 1,413.96 = 326.42 : x
  2. Step 2: Convert to fraction form
    942.74/1,413.96 = 326.42/x
  3. Step 3: Cross multiply
    942.74x = 1,413.96 × 326.42
  4. Step 4: Simplify right side
    942.74x = 461,544.82
  5. Step 5: Solve for x
    x = 461,544.82/942.74
  6. Step 6: Final answer
    x = 489.58

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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.