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Finding the Fourth Proportional to 447.09, 617.09 and 281.19

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Solution

The fourth proportional to 447.09, 617.09 and 281.19 is: 388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.09 : 617.09 = 281.19 : x
  2. Step 2: Convert to fraction form
    447.09/617.09 = 281.19/x
  3. Step 3: Cross multiply
    447.09x = 617.09 × 281.19
  4. Step 4: Simplify right side
    447.09x = 173,518.13
  5. Step 5: Solve for x
    x = 173,518.13/447.09
  6. Step 6: Final answer
    x = 388.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.