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Finding the Fourth Proportional to 605.12, 835.38 and 409.66

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Solution

The fourth proportional to 605.12, 835.38 and 409.66 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.12 : 835.38 = 409.66 : x
  2. Step 2: Convert to fraction form
    605.12/835.38 = 409.66/x
  3. Step 3: Cross multiply
    605.12x = 835.38 × 409.66
  4. Step 4: Simplify right side
    605.12x = 342,221.77
  5. Step 5: Solve for x
    x = 342,221.77/605.12
  6. Step 6: Final answer
    x = 565.54

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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.