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Finding the Fourth Proportional to 396.72, 594.60 and 180.08

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Solution

The fourth proportional to 396.72, 594.60 and 180.08 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.72 : 594.60 = 180.08 : x
  2. Step 2: Convert to fraction form
    396.72/594.60 = 180.08/x
  3. Step 3: Cross multiply
    396.72x = 594.60 × 180.08
  4. Step 4: Simplify right side
    396.72x = 107,075.57
  5. Step 5: Solve for x
    x = 107,075.57/396.72
  6. Step 6: Final answer
    x = 269.90

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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.