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Finding the Fourth Proportional to 396.64, 547.44 and 293.92

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Solution

The fourth proportional to 396.64, 547.44 and 293.92 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.64 : 547.44 = 293.92 : x
  2. Step 2: Convert to fraction form
    396.64/547.44 = 293.92/x
  3. Step 3: Cross multiply
    396.64x = 547.44 × 293.92
  4. Step 4: Simplify right side
    396.64x = 160,903.56
  5. Step 5: Solve for x
    x = 160,903.56/396.64
  6. Step 6: Final answer
    x = 405.67

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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.