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Finding the Fourth Proportional to 942.46, 1,413.63 and 293.17

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Solution

The fourth proportional to 942.46, 1,413.63 and 293.17 is: 439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.46 : 1,413.63 = 293.17 : x
  2. Step 2: Convert to fraction form
    942.46/1,413.63 = 293.17/x
  3. Step 3: Cross multiply
    942.46x = 1,413.63 × 293.17
  4. Step 4: Simplify right side
    942.46x = 414,433.91
  5. Step 5: Solve for x
    x = 414,433.91/942.46
  6. Step 6: Final answer
    x = 439.74

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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.