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Finding the Fourth Proportional to 942.14, 1,413.53 and 293.02

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Solution

The fourth proportional to 942.14, 1,413.53 and 293.02 is: 439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.14 : 1,413.53 = 293.02 : x
  2. Step 2: Convert to fraction form
    942.14/1,413.53 = 293.02/x
  3. Step 3: Cross multiply
    942.14x = 1,413.53 × 293.02
  4. Step 4: Simplify right side
    942.14x = 414,192.56
  5. Step 5: Solve for x
    x = 414,192.56/942.14
  6. Step 6: Final answer
    x = 439.63

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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.