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Finding the Fourth Proportional to 496.40, 744.24 and 333.68

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Solution

The fourth proportional to 496.40, 744.24 and 333.68 is: 500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.40 : 744.24 = 333.68 : x
  2. Step 2: Convert to fraction form
    496.40/744.24 = 333.68/x
  3. Step 3: Cross multiply
    496.40x = 744.24 × 333.68
  4. Step 4: Simplify right side
    496.40x = 248,338.00
  5. Step 5: Solve for x
    x = 248,338.00/496.40
  6. Step 6: Final answer
    x = 500.28

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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.