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Finding the Fourth Proportional to 446.13, 616.43 and 334.56

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Solution

The fourth proportional to 446.13, 616.43 and 334.56 is: 462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.13 : 616.43 = 334.56 : x
  2. Step 2: Convert to fraction form
    446.13/616.43 = 334.56/x
  3. Step 3: Cross multiply
    446.13x = 616.43 × 334.56
  4. Step 4: Simplify right side
    446.13x = 206,231.15
  5. Step 5: Solve for x
    x = 206,231.15/446.13
  6. Step 6: Final answer
    x = 462.27

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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.