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Finding the Fourth Proportional to 961.45, 1,442.41 and 413.33

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Solution

The fourth proportional to 961.45, 1,442.41 and 413.33 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.45 : 1,442.41 = 413.33 : x
  2. Step 2: Convert to fraction form
    961.45/1,442.41 = 413.33/x
  3. Step 3: Cross multiply
    961.45x = 1,442.41 × 413.33
  4. Step 4: Simplify right side
    961.45x = 596,193.90
  5. Step 5: Solve for x
    x = 596,193.90/961.45
  6. Step 6: Final answer
    x = 620.10

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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.