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Finding the Fourth Proportional to 609.40, 913.17 and 280.16

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Solution

The fourth proportional to 609.40, 913.17 and 280.16 is: 419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 913.17 = 280.16 : x
  2. Step 2: Convert to fraction form
    609.40/913.17 = 280.16/x
  3. Step 3: Cross multiply
    609.40x = 913.17 × 280.16
  4. Step 4: Simplify right side
    609.40x = 255,833.62
  5. Step 5: Solve for x
    x = 255,833.62/609.40
  6. Step 6: Final answer
    x = 419.81

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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.