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Finding the Fourth Proportional to 942.35, 1,413.79 and 293.13

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Solution

The fourth proportional to 942.35, 1,413.79 and 293.13 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.35 : 1,413.79 = 293.13 : x
  2. Step 2: Convert to fraction form
    942.35/1,413.79 = 293.13/x
  3. Step 3: Cross multiply
    942.35x = 1,413.79 × 293.13
  4. Step 4: Simplify right side
    942.35x = 414,423.53
  5. Step 5: Solve for x
    x = 414,423.53/942.35
  6. Step 6: Final answer
    x = 439.78

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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.