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Finding the Fourth Proportional to 605.62, 835.37 and 416.48

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Solution

The fourth proportional to 605.62, 835.37 and 416.48 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.62 : 835.37 = 416.48 : x
  2. Step 2: Convert to fraction form
    605.62/835.37 = 416.48/x
  3. Step 3: Cross multiply
    605.62x = 835.37 × 416.48
  4. Step 4: Simplify right side
    605.62x = 347,908.64
  5. Step 5: Solve for x
    x = 347,908.64/605.62
  6. Step 6: Final answer
    x = 574.47

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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.