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Finding the Fourth Proportional to 396.66, 595.19 and 289.33

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Solution

The fourth proportional to 396.66, 595.19 and 289.33 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.66 : 595.19 = 289.33 : x
  2. Step 2: Convert to fraction form
    396.66/595.19 = 289.33/x
  3. Step 3: Cross multiply
    396.66x = 595.19 × 289.33
  4. Step 4: Simplify right side
    396.66x = 172,206.32
  5. Step 5: Solve for x
    x = 172,206.32/396.66
  6. Step 6: Final answer
    x = 434.14

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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.