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Finding the Fourth Proportional to 606.14, 835.93 and 409.92

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Solution

The fourth proportional to 606.14, 835.93 and 409.92 is: 565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.14 : 835.93 = 409.92 : x
  2. Step 2: Convert to fraction form
    606.14/835.93 = 409.92/x
  3. Step 3: Cross multiply
    606.14x = 835.93 × 409.92
  4. Step 4: Simplify right side
    606.14x = 342,661.80
  5. Step 5: Solve for x
    x = 342,661.80/606.14
  6. Step 6: Final answer
    x = 565.32

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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.