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Finding the Fourth Proportional to 446.16, 669.27 and 413.37

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Solution

The fourth proportional to 446.16, 669.27 and 413.37 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 669.27 = 413.37 : x
  2. Step 2: Convert to fraction form
    446.16/669.27 = 413.37/x
  3. Step 3: Cross multiply
    446.16x = 669.27 × 413.37
  4. Step 4: Simplify right side
    446.16x = 276,656.14
  5. Step 5: Solve for x
    x = 276,656.14/446.16
  6. Step 6: Final answer
    x = 620.08

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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.