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Finding the Fourth Proportional to 444.26, 665.93 and 200.58

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Solution

The fourth proportional to 444.26, 665.93 and 200.58 is: 300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.26 : 665.93 = 200.58 : x
  2. Step 2: Convert to fraction form
    444.26/665.93 = 200.58/x
  3. Step 3: Cross multiply
    444.26x = 665.93 × 200.58
  4. Step 4: Simplify right side
    444.26x = 133,571.24
  5. Step 5: Solve for x
    x = 133,571.24/444.26
  6. Step 6: Final answer
    x = 300.66

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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.