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Finding the Fourth Proportional to 605.94, 835.74 and 409.38

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Solution

The fourth proportional to 605.94, 835.74 and 409.38 is: 564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.94 : 835.74 = 409.38 : x
  2. Step 2: Convert to fraction form
    605.94/835.74 = 409.38/x
  3. Step 3: Cross multiply
    605.94x = 835.74 × 409.38
  4. Step 4: Simplify right side
    605.94x = 342,135.24
  5. Step 5: Solve for x
    x = 342,135.24/605.94
  6. Step 6: Final answer
    x = 564.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.