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Finding the Fourth Proportional to 942.15, 1,413.42 and 292.93

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Solution

The fourth proportional to 942.15, 1,413.42 and 292.93 is: 439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.15 : 1,413.42 = 292.93 : x
  2. Step 2: Convert to fraction form
    942.15/1,413.42 = 292.93/x
  3. Step 3: Cross multiply
    942.15x = 1,413.42 × 292.93
  4. Step 4: Simplify right side
    942.15x = 414,033.12
  5. Step 5: Solve for x
    x = 414,033.12/942.15
  6. Step 6: Final answer
    x = 439.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.