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Finding the Fourth Proportional to 396.76, 546.63 and 296.74

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Solution

The fourth proportional to 396.76, 546.63 and 296.74 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.76 : 546.63 = 296.74 : x
  2. Step 2: Convert to fraction form
    396.76/546.63 = 296.74/x
  3. Step 3: Cross multiply
    396.76x = 546.63 × 296.74
  4. Step 4: Simplify right side
    396.76x = 162,206.99
  5. Step 5: Solve for x
    x = 162,206.99/396.76
  6. Step 6: Final answer
    x = 408.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.