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Finding the Fourth Proportional to 329.85, 454.92 and 211.71

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Solution

The fourth proportional to 329.85, 454.92 and 211.71 is: 291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.85 : 454.92 = 211.71 : x
  2. Step 2: Convert to fraction form
    329.85/454.92 = 211.71/x
  3. Step 3: Cross multiply
    329.85x = 454.92 × 211.71
  4. Step 4: Simplify right side
    329.85x = 96,311.11
  5. Step 5: Solve for x
    x = 96,311.11/329.85
  6. Step 6: Final answer
    x = 291.98

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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.