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Finding the Fourth Proportional to 396.75, 596.01 and 260.01

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Solution

The fourth proportional to 396.75, 596.01 and 260.01 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.75 : 596.01 = 260.01 : x
  2. Step 2: Convert to fraction form
    396.75/596.01 = 260.01/x
  3. Step 3: Cross multiply
    396.75x = 596.01 × 260.01
  4. Step 4: Simplify right side
    396.75x = 154,968.56
  5. Step 5: Solve for x
    x = 154,968.56/396.75
  6. Step 6: Final answer
    x = 390.59

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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.