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Finding the Fourth Proportional to 852.28, 1,278.22 and 413.52

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Solution

The fourth proportional to 852.28, 1,278.22 and 413.52 is: 620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.28 : 1,278.22 = 413.52 : x
  2. Step 2: Convert to fraction form
    852.28/1,278.22 = 413.52/x
  3. Step 3: Cross multiply
    852.28x = 1,278.22 × 413.52
  4. Step 4: Simplify right side
    852.28x = 528,569.53
  5. Step 5: Solve for x
    x = 528,569.53/852.28
  6. Step 6: Final answer
    x = 620.18

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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.