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Finding the Fourth Proportional to 396.51, 594.06 and 214.11

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Solution

The fourth proportional to 396.51, 594.06 and 214.11 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.51 : 594.06 = 214.11 : x
  2. Step 2: Convert to fraction form
    396.51/594.06 = 214.11/x
  3. Step 3: Cross multiply
    396.51x = 594.06 × 214.11
  4. Step 4: Simplify right side
    396.51x = 127,194.19
  5. Step 5: Solve for x
    x = 127,194.19/396.51
  6. Step 6: Final answer
    x = 320.78

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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.