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Finding the Fourth Proportional to 442.26, 663.24 and 413.50

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Solution

The fourth proportional to 442.26, 663.24 and 413.50 is: 620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 663.24 = 413.50 : x
  2. Step 2: Convert to fraction form
    442.26/663.24 = 413.50/x
  3. Step 3: Cross multiply
    442.26x = 663.24 × 413.50
  4. Step 4: Simplify right side
    442.26x = 274,249.74
  5. Step 5: Solve for x
    x = 274,249.74/442.26
  6. Step 6: Final answer
    x = 620.11

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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.