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Finding the Fourth Proportional to 396.79, 547.77 and 264.23

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Solution

The fourth proportional to 396.79, 547.77 and 264.23 is: 364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.79 : 547.77 = 264.23 : x
  2. Step 2: Convert to fraction form
    396.79/547.77 = 264.23/x
  3. Step 3: Cross multiply
    396.79x = 547.77 × 264.23
  4. Step 4: Simplify right side
    396.79x = 144,735.95
  5. Step 5: Solve for x
    x = 144,735.95/396.79
  6. Step 6: Final answer
    x = 364.77

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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.