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Finding the Fourth Proportional to 443.09, 663.56 and 377.71

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Solution

The fourth proportional to 443.09, 663.56 and 377.71 is: 565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.09 : 663.56 = 377.71 : x
  2. Step 2: Convert to fraction form
    443.09/663.56 = 377.71/x
  3. Step 3: Cross multiply
    443.09x = 663.56 × 377.71
  4. Step 4: Simplify right side
    443.09x = 250,634.85
  5. Step 5: Solve for x
    x = 250,634.85/443.09
  6. Step 6: Final answer
    x = 565.66

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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.