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Finding the Fourth Proportional to 942.16, 1,413.08 and 326.32

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Solution

The fourth proportional to 942.16, 1,413.08 and 326.32 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.16 : 1,413.08 = 326.32 : x
  2. Step 2: Convert to fraction form
    942.16/1,413.08 = 326.32/x
  3. Step 3: Cross multiply
    942.16x = 1,413.08 × 326.32
  4. Step 4: Simplify right side
    942.16x = 461,116.27
  5. Step 5: Solve for x
    x = 461,116.27/942.16
  6. Step 6: Final answer
    x = 489.42

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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.