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Finding the Fourth Proportional to 396.99, 594.56 and 315.88

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Solution

The fourth proportional to 396.99, 594.56 and 315.88 is: 473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.99 : 594.56 = 315.88 : x
  2. Step 2: Convert to fraction form
    396.99/594.56 = 315.88/x
  3. Step 3: Cross multiply
    396.99x = 594.56 × 315.88
  4. Step 4: Simplify right side
    396.99x = 187,808.92
  5. Step 5: Solve for x
    x = 187,808.92/396.99
  6. Step 6: Final answer
    x = 473.08

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