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Finding the Fourth Proportional to 396.59, 547.43 and 313.88

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Solution

The fourth proportional to 396.59, 547.43 and 313.88 is: 433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.59 : 547.43 = 313.88 : x
  2. Step 2: Convert to fraction form
    396.59/547.43 = 313.88/x
  3. Step 3: Cross multiply
    396.59x = 547.43 × 313.88
  4. Step 4: Simplify right side
    396.59x = 171,823.02
  5. Step 5: Solve for x
    x = 171,823.02/396.59
  6. Step 6: Final answer
    x = 433.26

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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.