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Finding the Fourth Proportional to 609.96, 842.07 and 377.22

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Solution

The fourth proportional to 609.96, 842.07 and 377.22 is: 520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.96 : 842.07 = 377.22 : x
  2. Step 2: Convert to fraction form
    609.96/842.07 = 377.22/x
  3. Step 3: Cross multiply
    609.96x = 842.07 × 377.22
  4. Step 4: Simplify right side
    609.96x = 317,645.65
  5. Step 5: Solve for x
    x = 317,645.65/609.96
  6. Step 6: Final answer
    x = 520.76

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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.