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Finding the Fourth Proportional to 329.78, 454.34 and 270.45

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Solution

The fourth proportional to 329.78, 454.34 and 270.45 is: 372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.78 : 454.34 = 270.45 : x
  2. Step 2: Convert to fraction form
    329.78/454.34 = 270.45/x
  3. Step 3: Cross multiply
    329.78x = 454.34 × 270.45
  4. Step 4: Simplify right side
    329.78x = 122,876.93
  5. Step 5: Solve for x
    x = 122,876.93/329.78
  6. Step 6: Final answer
    x = 372.60

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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.