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Finding the Fourth Proportional to 496.75, 685.53 and 300.16

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Solution

The fourth proportional to 496.75, 685.53 and 300.16 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.75 : 685.53 = 300.16 : x
  2. Step 2: Convert to fraction form
    496.75/685.53 = 300.16/x
  3. Step 3: Cross multiply
    496.75x = 685.53 × 300.16
  4. Step 4: Simplify right side
    496.75x = 205,768.68
  5. Step 5: Solve for x
    x = 205,768.68/496.75
  6. Step 6: Final answer
    x = 414.23

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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.