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Finding the Fourth Proportional to 942.21, 1,413.09 and 292.95

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Solution

The fourth proportional to 942.21, 1,413.09 and 292.95 is: 439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.21 : 1,413.09 = 292.95 : x
  2. Step 2: Convert to fraction form
    942.21/1,413.09 = 292.95/x
  3. Step 3: Cross multiply
    942.21x = 1,413.09 × 292.95
  4. Step 4: Simplify right side
    942.21x = 413,964.72
  5. Step 5: Solve for x
    x = 413,964.72/942.21
  6. Step 6: Final answer
    x = 439.36

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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.