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Finding the Fourth Proportional to 496.67, 685.73 and 310.42

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Solution

The fourth proportional to 496.67, 685.73 and 310.42 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.67 : 685.73 = 310.42 : x
  2. Step 2: Convert to fraction form
    496.67/685.73 = 310.42/x
  3. Step 3: Cross multiply
    496.67x = 685.73 × 310.42
  4. Step 4: Simplify right side
    496.67x = 212,864.31
  5. Step 5: Solve for x
    x = 212,864.31/496.67
  6. Step 6: Final answer
    x = 428.58

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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.