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Finding the Fourth Proportional to 605.94, 836.37 and 409.43

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Solution

The fourth proportional to 605.94, 836.37 and 409.43 is: 565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.94 : 836.37 = 409.43 : x
  2. Step 2: Convert to fraction form
    605.94/836.37 = 409.43/x
  3. Step 3: Cross multiply
    605.94x = 836.37 × 409.43
  4. Step 4: Simplify right side
    605.94x = 342,430.79
  5. Step 5: Solve for x
    x = 342,430.79/605.94
  6. Step 6: Final answer
    x = 565.12

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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.