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Finding the Fourth Proportional to 490.37, 674.93 and 406.53

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Solution

The fourth proportional to 490.37, 674.93 and 406.53 is: 559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.37 : 674.93 = 406.53 : x
  2. Step 2: Convert to fraction form
    490.37/674.93 = 406.53/x
  3. Step 3: Cross multiply
    490.37x = 674.93 × 406.53
  4. Step 4: Simplify right side
    490.37x = 274,377.26
  5. Step 5: Solve for x
    x = 274,377.26/490.37
  6. Step 6: Final answer
    x = 559.54

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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.