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Finding the Fourth Proportional to 396.91, 593.54 and 287.56

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Solution

The fourth proportional to 396.91, 593.54 and 287.56 is: 430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.91 : 593.54 = 287.56 : x
  2. Step 2: Convert to fraction form
    396.91/593.54 = 287.56/x
  3. Step 3: Cross multiply
    396.91x = 593.54 × 287.56
  4. Step 4: Simplify right side
    396.91x = 170,678.36
  5. Step 5: Solve for x
    x = 170,678.36/396.91
  6. Step 6: Final answer
    x = 430.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.