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Finding the Fourth Proportional to 396.07, 596.41 and 294.08

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Solution

The fourth proportional to 396.07, 596.41 and 294.08 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.07 : 596.41 = 294.08 : x
  2. Step 2: Convert to fraction form
    396.07/596.41 = 294.08/x
  3. Step 3: Cross multiply
    396.07x = 596.41 × 294.08
  4. Step 4: Simplify right side
    396.07x = 175,392.25
  5. Step 5: Solve for x
    x = 175,392.25/396.07
  6. Step 6: Final answer
    x = 442.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.