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Finding the Fourth Proportional to 942.02, 1,413.23 and 292.75

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Solution

The fourth proportional to 942.02, 1,413.23 and 292.75 is: 439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.02 : 1,413.23 = 292.75 : x
  2. Step 2: Convert to fraction form
    942.02/1,413.23 = 292.75/x
  3. Step 3: Cross multiply
    942.02x = 1,413.23 × 292.75
  4. Step 4: Simplify right side
    942.02x = 413,723.08
  5. Step 5: Solve for x
    x = 413,723.08/942.02
  6. Step 6: Final answer
    x = 439.19

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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.