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Finding the Fourth Proportional to 396.06, 596.41 and 294.07

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Solution

The fourth proportional to 396.06, 596.41 and 294.07 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.06 : 596.41 = 294.07 : x
  2. Step 2: Convert to fraction form
    396.06/596.41 = 294.07/x
  3. Step 3: Cross multiply
    396.06x = 596.41 × 294.07
  4. Step 4: Simplify right side
    396.06x = 175,386.29
  5. Step 5: Solve for x
    x = 175,386.29/396.06
  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.