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Finding the Fourth Proportional to 396.84, 547.83 and 266.07

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Solution

The fourth proportional to 396.84, 547.83 and 266.07 is: 367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 547.83 = 266.07 : x
  2. Step 2: Convert to fraction form
    396.84/547.83 = 266.07/x
  3. Step 3: Cross multiply
    396.84x = 547.83 × 266.07
  4. Step 4: Simplify right side
    396.84x = 145,761.13
  5. Step 5: Solve for x
    x = 145,761.13/396.84
  6. Step 6: Final answer
    x = 367.30

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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.