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Finding the Fourth Proportional to 396.19, 594.33 and 176.82

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Solution

The fourth proportional to 396.19, 594.33 and 176.82 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 594.33 = 176.82 : x
  2. Step 2: Convert to fraction form
    396.19/594.33 = 176.82/x
  3. Step 3: Cross multiply
    396.19x = 594.33 × 176.82
  4. Step 4: Simplify right side
    396.19x = 105,089.43
  5. Step 5: Solve for x
    x = 105,089.43/396.19
  6. Step 6: Final answer
    x = 265.25

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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.