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Finding the Fourth Proportional to 396.19, 546.58 and 271.93

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Solution

The fourth proportional to 396.19, 546.58 and 271.93 is: 375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 546.58 = 271.93 : x
  2. Step 2: Convert to fraction form
    396.19/546.58 = 271.93/x
  3. Step 3: Cross multiply
    396.19x = 546.58 × 271.93
  4. Step 4: Simplify right side
    396.19x = 148,631.50
  5. Step 5: Solve for x
    x = 148,631.50/396.19
  6. Step 6: Final answer
    x = 375.15

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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.