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Finding the Fourth Proportional to 396.68, 546.66 and 285.95

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Solution

The fourth proportional to 396.68, 546.66 and 285.95 is: 394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.68 : 546.66 = 285.95 : x
  2. Step 2: Convert to fraction form
    396.68/546.66 = 285.95/x
  3. Step 3: Cross multiply
    396.68x = 546.66 × 285.95
  4. Step 4: Simplify right side
    396.68x = 156,318.79
  5. Step 5: Solve for x
    x = 156,318.79/396.68
  6. Step 6: Final answer
    x = 394.07

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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.