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Finding the Fourth Proportional to 605.43, 836.15 and 419.49

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Solution

The fourth proportional to 605.43, 836.15 and 419.49 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.43 : 836.15 = 419.49 : x
  2. Step 2: Convert to fraction form
    605.43/836.15 = 419.49/x
  3. Step 3: Cross multiply
    605.43x = 836.15 × 419.49
  4. Step 4: Simplify right side
    605.43x = 350,756.56
  5. Step 5: Solve for x
    x = 350,756.56/605.43
  6. Step 6: Final answer
    x = 579.35

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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.