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Finding the Fourth Proportional to 500.06, 746.27 and 445.39

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Solution

The fourth proportional to 500.06, 746.27 and 445.39 is: 664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.06 : 746.27 = 445.39 : x
  2. Step 2: Convert to fraction form
    500.06/746.27 = 445.39/x
  3. Step 3: Cross multiply
    500.06x = 746.27 × 445.39
  4. Step 4: Simplify right side
    500.06x = 332,375.24
  5. Step 5: Solve for x
    x = 332,375.24/500.06
  6. Step 6: Final answer
    x = 664.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.