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Finding the Fourth Proportional to 396.29, 546.75 and 263.25

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Solution

The fourth proportional to 396.29, 546.75 and 263.25 is: 363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.29 : 546.75 = 263.25 : x
  2. Step 2: Convert to fraction form
    396.29/546.75 = 263.25/x
  3. Step 3: Cross multiply
    396.29x = 546.75 × 263.25
  4. Step 4: Simplify right side
    396.29x = 143,931.94
  5. Step 5: Solve for x
    x = 143,931.94/396.29
  6. Step 6: Final answer
    x = 363.20

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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.