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Finding the Fourth Proportional to 496.86, 685.61 and 310.47

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Solution

The fourth proportional to 496.86, 685.61 and 310.47 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.86 : 685.61 = 310.47 : x
  2. Step 2: Convert to fraction form
    496.86/685.61 = 310.47/x
  3. Step 3: Cross multiply
    496.86x = 685.61 × 310.47
  4. Step 4: Simplify right side
    496.86x = 212,856.36
  5. Step 5: Solve for x
    x = 212,856.36/496.86
  6. Step 6: Final answer
    x = 428.41

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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.