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Finding the Fourth Proportional to 496.92, 685.83 and 378.70

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Solution

The fourth proportional to 496.92, 685.83 and 378.70 is: 522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 685.83 = 378.70 : x
  2. Step 2: Convert to fraction form
    496.92/685.83 = 378.70/x
  3. Step 3: Cross multiply
    496.92x = 685.83 × 378.70
  4. Step 4: Simplify right side
    496.92x = 259,723.82
  5. Step 5: Solve for x
    x = 259,723.82/496.92
  6. Step 6: Final answer
    x = 522.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.