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Finding the Fourth Proportional to 496.56, 685.32 and 289.56

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Solution

The fourth proportional to 496.56, 685.32 and 289.56 is: 399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 685.32 = 289.56 : x
  2. Step 2: Convert to fraction form
    496.56/685.32 = 289.56/x
  3. Step 3: Cross multiply
    496.56x = 685.32 × 289.56
  4. Step 4: Simplify right side
    496.56x = 198,441.26
  5. Step 5: Solve for x
    x = 198,441.26/496.56
  6. Step 6: Final answer
    x = 399.63

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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.