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Finding the Fourth Proportional to 396.19, 546.75 and 265.38

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Solution

The fourth proportional to 396.19, 546.75 and 265.38 is: 366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 546.75 = 265.38 : x
  2. Step 2: Convert to fraction form
    396.19/546.75 = 265.38/x
  3. Step 3: Cross multiply
    396.19x = 546.75 × 265.38
  4. Step 4: Simplify right side
    396.19x = 145,094.46
  5. Step 5: Solve for x
    x = 145,094.46/396.19
  6. Step 6: Final answer
    x = 366.22

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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.