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Finding the Fourth Proportional to 605.37, 835.37 and 339.84

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Solution

The fourth proportional to 605.37, 835.37 and 339.84 is: 468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.37 : 835.37 = 339.84 : x
  2. Step 2: Convert to fraction form
    605.37/835.37 = 339.84/x
  3. Step 3: Cross multiply
    605.37x = 835.37 × 339.84
  4. Step 4: Simplify right side
    605.37x = 283,892.14
  5. Step 5: Solve for x
    x = 283,892.14/605.37
  6. Step 6: Final answer
    x = 468.96

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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.