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Finding the Fourth Proportional to 396.77, 594.95 and 214.04

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Solution

The fourth proportional to 396.77, 594.95 and 214.04 is: 320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.77 : 594.95 = 214.04 : x
  2. Step 2: Convert to fraction form
    396.77/594.95 = 214.04/x
  3. Step 3: Cross multiply
    396.77x = 594.95 × 214.04
  4. Step 4: Simplify right side
    396.77x = 127,343.52
  5. Step 5: Solve for x
    x = 127,343.52/396.77
  6. Step 6: Final answer
    x = 320.95

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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.