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Finding the Fourth Proportional to 396.76, 594.06 and 259.48

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Solution

The fourth proportional to 396.76, 594.06 and 259.48 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.76 : 594.06 = 259.48 : x
  2. Step 2: Convert to fraction form
    396.76/594.06 = 259.48/x
  3. Step 3: Cross multiply
    396.76x = 594.06 × 259.48
  4. Step 4: Simplify right side
    396.76x = 154,146.69
  5. Step 5: Solve for x
    x = 154,146.69/396.76
  6. Step 6: Final answer
    x = 388.51

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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.