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Finding the Fourth Proportional to 496.94, 745.68 and 240.44

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Solution

The fourth proportional to 496.94, 745.68 and 240.44 is: 360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.94 : 745.68 = 240.44 : x
  2. Step 2: Convert to fraction form
    496.94/745.68 = 240.44/x
  3. Step 3: Cross multiply
    496.94x = 745.68 × 240.44
  4. Step 4: Simplify right side
    496.94x = 179,288.83
  5. Step 5: Solve for x
    x = 179,288.83/496.94
  6. Step 6: Final answer
    x = 360.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.