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Finding the Fourth Proportional to 609.59, 912.40 and 378.68

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Solution

The fourth proportional to 609.59, 912.40 and 378.68 is: 566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.59 : 912.40 = 378.68 : x
  2. Step 2: Convert to fraction form
    609.59/912.40 = 378.68/x
  3. Step 3: Cross multiply
    609.59x = 912.40 × 378.68
  4. Step 4: Simplify right side
    609.59x = 345,502.12
  5. Step 5: Solve for x
    x = 345,502.12/609.59
  6. Step 6: Final answer
    x = 566.78

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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.