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Finding the Fourth Proportional to 329.81, 454.01 and 300.42

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Solution

The fourth proportional to 329.81, 454.01 and 300.42 is: 413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.81 : 454.01 = 300.42 : x
  2. Step 2: Convert to fraction form
    329.81/454.01 = 300.42/x
  3. Step 3: Cross multiply
    329.81x = 454.01 × 300.42
  4. Step 4: Simplify right side
    329.81x = 136,393.68
  5. Step 5: Solve for x
    x = 136,393.68/329.81
  6. Step 6: Final answer
    x = 413.55

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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.