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Finding the Fourth Proportional to 605.22, 835.32 and 506.82

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Solution

The fourth proportional to 605.22, 835.32 and 506.82 is: 699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.22 : 835.32 = 506.82 : x
  2. Step 2: Convert to fraction form
    605.22/835.32 = 506.82/x
  3. Step 3: Cross multiply
    605.22x = 835.32 × 506.82
  4. Step 4: Simplify right side
    605.22x = 423,356.88
  5. Step 5: Solve for x
    x = 423,356.88/605.22
  6. Step 6: Final answer
    x = 699.51

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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.