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Finding the Fourth Proportional to 716.09, 1,074.36 and 326.16

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Solution

The fourth proportional to 716.09, 1,074.36 and 326.16 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.09 : 1,074.36 = 326.16 : x
  2. Step 2: Convert to fraction form
    716.09/1,074.36 = 326.16/x
  3. Step 3: Cross multiply
    716.09x = 1,074.36 × 326.16
  4. Step 4: Simplify right side
    716.09x = 350,413.26
  5. Step 5: Solve for x
    x = 350,413.26/716.09
  6. Step 6: Final answer
    x = 489.35

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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.