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Finding the Fourth Proportional to 942.28, 1,413.42 and 293.08

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Solution

The fourth proportional to 942.28, 1,413.42 and 293.08 is: 439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.28 : 1,413.42 = 293.08 : x
  2. Step 2: Convert to fraction form
    942.28/1,413.42 = 293.08/x
  3. Step 3: Cross multiply
    942.28x = 1,413.42 × 293.08
  4. Step 4: Simplify right side
    942.28x = 414,245.13
  5. Step 5: Solve for x
    x = 414,245.13/942.28
  6. Step 6: Final answer
    x = 439.62

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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.