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Finding the Fourth Proportional to 496.34, 744.30 and 149.57

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Solution

The fourth proportional to 496.34, 744.30 and 149.57 is: 224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.34 : 744.30 = 149.57 : x
  2. Step 2: Convert to fraction form
    496.34/744.30 = 149.57/x
  3. Step 3: Cross multiply
    496.34x = 744.30 × 149.57
  4. Step 4: Simplify right side
    496.34x = 111,324.95
  5. Step 5: Solve for x
    x = 111,324.95/496.34
  6. Step 6: Final answer
    x = 224.29

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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.