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Finding the Fourth Proportional to 396.46, 547.80 and 314.20

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Solution

The fourth proportional to 396.46, 547.80 and 314.20 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.46 : 547.80 = 314.20 : x
  2. Step 2: Convert to fraction form
    396.46/547.80 = 314.20/x
  3. Step 3: Cross multiply
    396.46x = 547.80 × 314.20
  4. Step 4: Simplify right side
    396.46x = 172,118.76
  5. Step 5: Solve for x
    x = 172,118.76/396.46
  6. Step 6: Final answer
    x = 434.14

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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.