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Finding the Fourth Proportional to 942.26, 1,413.65 and 284.19

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Solution

The fourth proportional to 942.26, 1,413.65 and 284.19 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.26 : 1,413.65 = 284.19 : x
  2. Step 2: Convert to fraction form
    942.26/1,413.65 = 284.19/x
  3. Step 3: Cross multiply
    942.26x = 1,413.65 × 284.19
  4. Step 4: Simplify right side
    942.26x = 401,745.19
  5. Step 5: Solve for x
    x = 401,745.19/942.26
  6. Step 6: Final answer
    x = 426.36

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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.