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Finding the Fourth Proportional to 499.74, 745.76 and 445.20

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Solution

The fourth proportional to 499.74, 745.76 and 445.20 is: 664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 745.76 = 445.20 : x
  2. Step 2: Convert to fraction form
    499.74/745.76 = 445.20/x
  3. Step 3: Cross multiply
    499.74x = 745.76 × 445.20
  4. Step 4: Simplify right side
    499.74x = 332,010.13
  5. Step 5: Solve for x
    x = 332,010.13/499.74
  6. Step 6: Final answer
    x = 664.37

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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.