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Finding the Fourth Proportional to 444.20, 613.86 and 334.04

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Solution

The fourth proportional to 444.20, 613.86 and 334.04 is: 461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.20 : 613.86 = 334.04 : x
  2. Step 2: Convert to fraction form
    444.20/613.86 = 334.04/x
  3. Step 3: Cross multiply
    444.20x = 613.86 × 334.04
  4. Step 4: Simplify right side
    444.20x = 205,053.79
  5. Step 5: Solve for x
    x = 205,053.79/444.20
  6. Step 6: Final answer
    x = 461.62

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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.