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Finding the Fourth Proportional to 445.67, 668.51 and 412.19

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Solution

The fourth proportional to 445.67, 668.51 and 412.19 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.67 : 668.51 = 412.19 : x
  2. Step 2: Convert to fraction form
    445.67/668.51 = 412.19/x
  3. Step 3: Cross multiply
    445.67x = 668.51 × 412.19
  4. Step 4: Simplify right side
    445.67x = 275,551.08
  5. Step 5: Solve for x
    x = 275,551.08/445.67
  6. Step 6: Final answer
    x = 618.29

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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.