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Finding the Fourth Proportional to 396.04, 592.44 and 315.04

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Solution

The fourth proportional to 396.04, 592.44 and 315.04 is: 471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.04 : 592.44 = 315.04 : x
  2. Step 2: Convert to fraction form
    396.04/592.44 = 315.04/x
  3. Step 3: Cross multiply
    396.04x = 592.44 × 315.04
  4. Step 4: Simplify right side
    396.04x = 186,642.30
  5. Step 5: Solve for x
    x = 186,642.30/396.04
  6. Step 6: Final answer
    x = 471.27

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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.