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Finding the Fourth Proportional to 396.86, 547.91 and 314.30

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Solution

The fourth proportional to 396.86, 547.91 and 314.30 is: 433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.86 : 547.91 = 314.30 : x
  2. Step 2: Convert to fraction form
    396.86/547.91 = 314.30/x
  3. Step 3: Cross multiply
    396.86x = 547.91 × 314.30
  4. Step 4: Simplify right side
    396.86x = 172,208.11
  5. Step 5: Solve for x
    x = 172,208.11/396.86
  6. Step 6: Final answer
    x = 433.93

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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.