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Finding the Fourth Proportional to 396.02, 594.05 and 286.67

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Solution

The fourth proportional to 396.02, 594.05 and 286.67 is: 430.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.02 : 594.05 = 286.67 : x
  2. Step 2: Convert to fraction form
    396.02/594.05 = 286.67/x
  3. Step 3: Cross multiply
    396.02x = 594.05 × 286.67
  4. Step 4: Simplify right side
    396.02x = 170,294.88
  5. Step 5: Solve for x
    x = 170,294.88/396.02
  6. Step 6: Final answer
    x = 430.02

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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.