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Finding the Fourth Proportional to 496.94, 685.75 and 275.88

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Solution

The fourth proportional to 496.94, 685.75 and 275.88 is: 380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.94 : 685.75 = 275.88 : x
  2. Step 2: Convert to fraction form
    496.94/685.75 = 275.88/x
  3. Step 3: Cross multiply
    496.94x = 685.75 × 275.88
  4. Step 4: Simplify right side
    496.94x = 189,183.33
  5. Step 5: Solve for x
    x = 189,183.33/496.94
  6. Step 6: Final answer
    x = 380.70

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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.