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Finding the Fourth Proportional to 605.10, 835.08 and 339.56

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Solution

The fourth proportional to 605.10, 835.08 and 339.56 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 835.08 = 339.56 : x
  2. Step 2: Convert to fraction form
    605.10/835.08 = 339.56/x
  3. Step 3: Cross multiply
    605.10x = 835.08 × 339.56
  4. Step 4: Simplify right side
    605.10x = 283,555.59
  5. Step 5: Solve for x
    x = 283,555.59/605.10
  6. Step 6: Final answer
    x = 468.61

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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.