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Finding the Fourth Proportional to 605.46, 835.53 and 329.46

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Solution

The fourth proportional to 605.46, 835.53 and 329.46 is: 454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.46 : 835.53 = 329.46 : x
  2. Step 2: Convert to fraction form
    605.46/835.53 = 329.46/x
  3. Step 3: Cross multiply
    605.46x = 835.53 × 329.46
  4. Step 4: Simplify right side
    605.46x = 275,273.71
  5. Step 5: Solve for x
    x = 275,273.71/605.46
  6. Step 6: Final answer
    x = 454.65

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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.