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Finding the Fourth Proportional to 942.23, 1,413.51 and 292.82

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Solution

The fourth proportional to 942.23, 1,413.51 and 292.82 is: 439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.23 : 1,413.51 = 292.82 : x
  2. Step 2: Convert to fraction form
    942.23/1,413.51 = 292.82/x
  3. Step 3: Cross multiply
    942.23x = 1,413.51 × 292.82
  4. Step 4: Simplify right side
    942.23x = 413,895.47
  5. Step 5: Solve for x
    x = 413,895.47/942.23
  6. Step 6: Final answer
    x = 439.27

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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.