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Finding the Fourth Proportional to 605.83, 835.41 and 465.97

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Solution

The fourth proportional to 605.83, 835.41 and 465.97 is: 642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.83 : 835.41 = 465.97 : x
  2. Step 2: Convert to fraction form
    605.83/835.41 = 465.97/x
  3. Step 3: Cross multiply
    605.83x = 835.41 × 465.97
  4. Step 4: Simplify right side
    605.83x = 389,276.00
  5. Step 5: Solve for x
    x = 389,276.00/605.83
  6. Step 6: Final answer
    x = 642.55

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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.