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Finding the Fourth Proportional to 329.54, 494.22 and 277.70

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Solution

The fourth proportional to 329.54, 494.22 and 277.70 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.54 : 494.22 = 277.70 : x
  2. Step 2: Convert to fraction form
    329.54/494.22 = 277.70/x
  3. Step 3: Cross multiply
    329.54x = 494.22 × 277.70
  4. Step 4: Simplify right side
    329.54x = 137,244.89
  5. Step 5: Solve for x
    x = 137,244.89/329.54
  6. Step 6: Final answer
    x = 416.47

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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.