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Finding the Fourth Proportional to 329.96, 494.94 and 208.46

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Solution

The fourth proportional to 329.96, 494.94 and 208.46 is: 312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 494.94 = 208.46 : x
  2. Step 2: Convert to fraction form
    329.96/494.94 = 208.46/x
  3. Step 3: Cross multiply
    329.96x = 494.94 × 208.46
  4. Step 4: Simplify right side
    329.96x = 103,175.19
  5. Step 5: Solve for x
    x = 103,175.19/329.96
  6. Step 6: Final answer
    x = 312.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.