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Finding the Fourth Proportional to 942.33, 1,413.68 and 326.06

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Solution

The fourth proportional to 942.33, 1,413.68 and 326.06 is: 489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.33 : 1,413.68 = 326.06 : x
  2. Step 2: Convert to fraction form
    942.33/1,413.68 = 326.06/x
  3. Step 3: Cross multiply
    942.33x = 1,413.68 × 326.06
  4. Step 4: Simplify right side
    942.33x = 460,935.80
  5. Step 5: Solve for x
    x = 460,935.80/942.33
  6. Step 6: Final answer
    x = 489.14

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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.