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Finding the Fourth Proportional to 942.05, 1,413.49 and 326.19

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Solution

The fourth proportional to 942.05, 1,413.49 and 326.19 is: 489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,413.49 = 326.19 : x
  2. Step 2: Convert to fraction form
    942.05/1,413.49 = 326.19/x
  3. Step 3: Cross multiply
    942.05x = 1,413.49 × 326.19
  4. Step 4: Simplify right side
    942.05x = 461,066.30
  5. Step 5: Solve for x
    x = 461,066.30/942.05
  6. Step 6: Final answer
    x = 489.43

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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.