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Finding the Fourth Proportional to 942.32, 1,413.70 and 284.20

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Solution

The fourth proportional to 942.32, 1,413.70 and 284.20 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.32 : 1,413.70 = 284.20 : x
  2. Step 2: Convert to fraction form
    942.32/1,413.70 = 284.20/x
  3. Step 3: Cross multiply
    942.32x = 1,413.70 × 284.20
  4. Step 4: Simplify right side
    942.32x = 401,769.30
  5. Step 5: Solve for x
    x = 401,769.30/942.32
  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.