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Finding the Fourth Proportional to 329.69, 454.84 and 211.63

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Solution

The fourth proportional to 329.69, 454.84 and 211.63 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.69 : 454.84 = 211.63 : x
  2. Step 2: Convert to fraction form
    329.69/454.84 = 211.63/x
  3. Step 3: Cross multiply
    329.69x = 454.84 × 211.63
  4. Step 4: Simplify right side
    329.69x = 96,257.57
  5. Step 5: Solve for x
    x = 96,257.57/329.69
  6. Step 6: Final answer
    x = 291.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.