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Finding the Fourth Proportional to 605.42, 835.39 and 339.85

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Solution

The fourth proportional to 605.42, 835.39 and 339.85 is: 468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.42 : 835.39 = 339.85 : x
  2. Step 2: Convert to fraction form
    605.42/835.39 = 339.85/x
  3. Step 3: Cross multiply
    605.42x = 835.39 × 339.85
  4. Step 4: Simplify right side
    605.42x = 283,907.29
  5. Step 5: Solve for x
    x = 283,907.29/605.42
  6. Step 6: Final answer
    x = 468.94

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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.