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Finding the Fourth Proportional to 605.43, 835.50 and 409.02

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Solution

The fourth proportional to 605.43, 835.50 and 409.02 is: 564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.43 : 835.50 = 409.02 : x
  2. Step 2: Convert to fraction form
    605.43/835.50 = 409.02/x
  3. Step 3: Cross multiply
    605.43x = 835.50 × 409.02
  4. Step 4: Simplify right side
    605.43x = 341,736.21
  5. Step 5: Solve for x
    x = 341,736.21/605.43
  6. Step 6: Final answer
    x = 564.45

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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.