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Finding the Fourth Proportional to 496.53, 685.43 and 297.43

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Solution

The fourth proportional to 496.53, 685.43 and 297.43 is: 410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 685.43 = 297.43 : x
  2. Step 2: Convert to fraction form
    496.53/685.43 = 297.43/x
  3. Step 3: Cross multiply
    496.53x = 685.43 × 297.43
  4. Step 4: Simplify right side
    496.53x = 203,867.44
  5. Step 5: Solve for x
    x = 203,867.44/496.53
  6. Step 6: Final answer
    x = 410.58

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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.