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Finding the Fourth Proportional to 446.86, 669.42 and 408.58

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Solution

The fourth proportional to 446.86, 669.42 and 408.58 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.86 : 669.42 = 408.58 : x
  2. Step 2: Convert to fraction form
    446.86/669.42 = 408.58/x
  3. Step 3: Cross multiply
    446.86x = 669.42 × 408.58
  4. Step 4: Simplify right side
    446.86x = 273,511.62
  5. Step 5: Solve for x
    x = 273,511.62/446.86
  6. Step 6: Final answer
    x = 612.07

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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.