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Finding the Fourth Proportional to 446.32, 616.04 and 329.68

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Solution

The fourth proportional to 446.32, 616.04 and 329.68 is: 455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.32 : 616.04 = 329.68 : x
  2. Step 2: Convert to fraction form
    446.32/616.04 = 329.68/x
  3. Step 3: Cross multiply
    446.32x = 616.04 × 329.68
  4. Step 4: Simplify right side
    446.32x = 203,096.07
  5. Step 5: Solve for x
    x = 203,096.07/446.32
  6. Step 6: Final answer
    x = 455.05

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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.