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Finding the Fourth Proportional to 606.49, 835.67 and 409.66

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Solution

The fourth proportional to 606.49, 835.67 and 409.66 is: 564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.49 : 835.67 = 409.66 : x
  2. Step 2: Convert to fraction form
    606.49/835.67 = 409.66/x
  3. Step 3: Cross multiply
    606.49x = 835.67 × 409.66
  4. Step 4: Simplify right side
    606.49x = 342,340.57
  5. Step 5: Solve for x
    x = 342,340.57/606.49
  6. Step 6: Final answer
    x = 564.46

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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.