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Finding the Fourth Proportional to 311.30, 428.58 and 272.46

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Solution

The fourth proportional to 311.30, 428.58 and 272.46 is: 375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.30 : 428.58 = 272.46 : x
  2. Step 2: Convert to fraction form
    311.30/428.58 = 272.46/x
  3. Step 3: Cross multiply
    311.30x = 428.58 × 272.46
  4. Step 4: Simplify right side
    311.30x = 116,770.91
  5. Step 5: Solve for x
    x = 116,770.91/311.30
  6. Step 6: Final answer
    x = 375.11

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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.