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Finding the Fourth Proportional to 443.94, 664.41 and 380.58

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Solution

The fourth proportional to 443.94, 664.41 and 380.58 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.94 : 664.41 = 380.58 : x
  2. Step 2: Convert to fraction form
    443.94/664.41 = 380.58/x
  3. Step 3: Cross multiply
    443.94x = 664.41 × 380.58
  4. Step 4: Simplify right side
    443.94x = 252,861.16
  5. Step 5: Solve for x
    x = 252,861.16/443.94
  6. Step 6: Final answer
    x = 569.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.