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Finding the Fourth Proportional to 396.89, 595.33 and 177.46

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Solution

The fourth proportional to 396.89, 595.33 and 177.46 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.89 : 595.33 = 177.46 : x
  2. Step 2: Convert to fraction form
    396.89/595.33 = 177.46/x
  3. Step 3: Cross multiply
    396.89x = 595.33 × 177.46
  4. Step 4: Simplify right side
    396.89x = 105,645.77
  5. Step 5: Solve for x
    x = 105,645.77/396.89
  6. Step 6: Final answer
    x = 266.18

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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.