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Finding the Fourth Proportional to 606.08, 836.06 and 409.25

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Solution

The fourth proportional to 606.08, 836.06 and 409.25 is: 564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.08 : 836.06 = 409.25 : x
  2. Step 2: Convert to fraction form
    606.08/836.06 = 409.25/x
  3. Step 3: Cross multiply
    606.08x = 836.06 × 409.25
  4. Step 4: Simplify right side
    606.08x = 342,157.60
  5. Step 5: Solve for x
    x = 342,157.60/606.08
  6. Step 6: Final answer
    x = 564.54

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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.