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Finding the Fourth Proportional to 396.49, 594.61 and 152.95

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Solution

The fourth proportional to 396.49, 594.61 and 152.95 is: 229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.49 : 594.61 = 152.95 : x
  2. Step 2: Convert to fraction form
    396.49/594.61 = 152.95/x
  3. Step 3: Cross multiply
    396.49x = 594.61 × 152.95
  4. Step 4: Simplify right side
    396.49x = 90,948.21
  5. Step 5: Solve for x
    x = 90,948.21/396.49
  6. Step 6: Final answer
    x = 229.39

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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.