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Finding the Fourth Proportional to 605.20, 835.10 and 339.66

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Solution

The fourth proportional to 605.20, 835.10 and 339.66 is: 468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.20 : 835.10 = 339.66 : x
  2. Step 2: Convert to fraction form
    605.20/835.10 = 339.66/x
  3. Step 3: Cross multiply
    605.20x = 835.10 × 339.66
  4. Step 4: Simplify right side
    605.20x = 283,650.07
  5. Step 5: Solve for x
    x = 283,650.07/605.20
  6. Step 6: Final answer
    x = 468.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.