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Finding the Fourth Proportional to 605.12, 834.67 and 415.98

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Solution

The fourth proportional to 605.12, 834.67 and 415.98 is: 573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.12 : 834.67 = 415.98 : x
  2. Step 2: Convert to fraction form
    605.12/834.67 = 415.98/x
  3. Step 3: Cross multiply
    605.12x = 834.67 × 415.98
  4. Step 4: Simplify right side
    605.12x = 347,206.03
  5. Step 5: Solve for x
    x = 347,206.03/605.12
  6. Step 6: Final answer
    x = 573.78

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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.