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Finding the Fourth Proportional to 605.85, 836.66 and 419.82

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Solution

The fourth proportional to 605.85, 836.66 and 419.82 is: 579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.85 : 836.66 = 419.82 : x
  2. Step 2: Convert to fraction form
    605.85/836.66 = 419.82/x
  3. Step 3: Cross multiply
    605.85x = 836.66 × 419.82
  4. Step 4: Simplify right side
    605.85x = 351,246.60
  5. Step 5: Solve for x
    x = 351,246.60/605.85
  6. Step 6: Final answer
    x = 579.76

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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.