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Finding the Fourth Proportional to 443.83, 665.71 and 200.35

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Solution

The fourth proportional to 443.83, 665.71 and 200.35 is: 300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.83 : 665.71 = 200.35 : x
  2. Step 2: Convert to fraction form
    443.83/665.71 = 200.35/x
  3. Step 3: Cross multiply
    443.83x = 665.71 × 200.35
  4. Step 4: Simplify right side
    443.83x = 133,375.00
  5. Step 5: Solve for x
    x = 133,375.00/443.83
  6. Step 6: Final answer
    x = 300.51

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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.