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Finding the Fourth Proportional to 496.68, 685.06 and 349.48

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Solution

The fourth proportional to 496.68, 685.06 and 349.48 is: 482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.68 : 685.06 = 349.48 : x
  2. Step 2: Convert to fraction form
    496.68/685.06 = 349.48/x
  3. Step 3: Cross multiply
    496.68x = 685.06 × 349.48
  4. Step 4: Simplify right side
    496.68x = 239,414.77
  5. Step 5: Solve for x
    x = 239,414.77/496.68
  6. Step 6: Final answer
    x = 482.03

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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.