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Finding the Fourth Proportional to 446.75, 616.31 and 289.43

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Solution

The fourth proportional to 446.75, 616.31 and 289.43 is: 399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.75 : 616.31 = 289.43 : x
  2. Step 2: Convert to fraction form
    446.75/616.31 = 289.43/x
  3. Step 3: Cross multiply
    446.75x = 616.31 × 289.43
  4. Step 4: Simplify right side
    446.75x = 178,378.60
  5. Step 5: Solve for x
    x = 178,378.60/446.75
  6. Step 6: Final answer
    x = 399.28

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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.