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Finding the Fourth Proportional to 606.03, 835.16 and 409.20

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Solution

The fourth proportional to 606.03, 835.16 and 409.20 is: 563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.03 : 835.16 = 409.20 : x
  2. Step 2: Convert to fraction form
    606.03/835.16 = 409.20/x
  3. Step 3: Cross multiply
    606.03x = 835.16 × 409.20
  4. Step 4: Simplify right side
    606.03x = 341,745.43
  5. Step 5: Solve for x
    x = 341,745.43/606.03
  6. Step 6: Final answer
    x = 563.91

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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.