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Finding the Fourth Proportional to 496.24, 745.49 and 350.33

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Solution

The fourth proportional to 496.24, 745.49 and 350.33 is: 526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 745.49 = 350.33 : x
  2. Step 2: Convert to fraction form
    496.24/745.49 = 350.33/x
  3. Step 3: Cross multiply
    496.24x = 745.49 × 350.33
  4. Step 4: Simplify right side
    496.24x = 261,164.66
  5. Step 5: Solve for x
    x = 261,164.66/496.24
  6. Step 6: Final answer
    x = 526.29

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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.