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Finding the Fourth Proportional to 942.40, 1,413.78 and 284.32

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Solution

The fourth proportional to 942.40, 1,413.78 and 284.32 is: 426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.40 : 1,413.78 = 284.32 : x
  2. Step 2: Convert to fraction form
    942.40/1,413.78 = 284.32/x
  3. Step 3: Cross multiply
    942.40x = 1,413.78 × 284.32
  4. Step 4: Simplify right side
    942.40x = 401,965.93
  5. Step 5: Solve for x
    x = 401,965.93/942.40
  6. Step 6: Final answer
    x = 426.53

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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.