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Finding the Fourth Proportional to 323.67, 484.33 and 278.56

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Solution

The fourth proportional to 323.67, 484.33 and 278.56 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.67 : 484.33 = 278.56 : x
  2. Step 2: Convert to fraction form
    323.67/484.33 = 278.56/x
  3. Step 3: Cross multiply
    323.67x = 484.33 × 278.56
  4. Step 4: Simplify right side
    323.67x = 134,915.66
  5. Step 5: Solve for x
    x = 134,915.66/323.67
  6. Step 6: Final answer
    x = 416.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.