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Finding the Fourth Proportional to 328, 452.67 and 211.54

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Solution

The fourth proportional to 328, 452.67 and 211.54 is: 291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328 : 452.67 = 211.54 : x
  2. Step 2: Convert to fraction form
    328/452.67 = 211.54/x
  3. Step 3: Cross multiply
    328x = 452.67 × 211.54
  4. Step 4: Simplify right side
    328x = 95,757.81
  5. Step 5: Solve for x
    x = 95,757.81/328
  6. Step 6: Final answer
    x = 291.94

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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.