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Finding the Fourth Proportional to 496.41, 745.08 and 360.19

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Solution

The fourth proportional to 496.41, 745.08 and 360.19 is: 540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.41 : 745.08 = 360.19 : x
  2. Step 2: Convert to fraction form
    496.41/745.08 = 360.19/x
  3. Step 3: Cross multiply
    496.41x = 745.08 × 360.19
  4. Step 4: Simplify right side
    496.41x = 268,370.37
  5. Step 5: Solve for x
    x = 268,370.37/496.41
  6. Step 6: Final answer
    x = 540.62

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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.