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Finding the Fourth Proportional to 605.33, 835.34 and 339.77

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Solution

The fourth proportional to 605.33, 835.34 and 339.77 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.33 : 835.34 = 339.77 : x
  2. Step 2: Convert to fraction form
    605.33/835.34 = 339.77/x
  3. Step 3: Cross multiply
    605.33x = 835.34 × 339.77
  4. Step 4: Simplify right side
    605.33x = 283,821.77
  5. Step 5: Solve for x
    x = 283,821.77/605.33
  6. Step 6: Final answer
    x = 468.87

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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.