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Finding the Fourth Proportional to 605.73, 836.24 and 409.59

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Solution

The fourth proportional to 605.73, 836.24 and 409.59 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.73 : 836.24 = 409.59 : x
  2. Step 2: Convert to fraction form
    605.73/836.24 = 409.59/x
  3. Step 3: Cross multiply
    605.73x = 836.24 × 409.59
  4. Step 4: Simplify right side
    605.73x = 342,513.49
  5. Step 5: Solve for x
    x = 342,513.49/605.73
  6. Step 6: Final answer
    x = 565.46

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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.