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Finding the Fourth Proportional to 396.04, 546.62 and 230.34

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Solution

The fourth proportional to 396.04, 546.62 and 230.34 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.04 : 546.62 = 230.34 : x
  2. Step 2: Convert to fraction form
    396.04/546.62 = 230.34/x
  3. Step 3: Cross multiply
    396.04x = 546.62 × 230.34
  4. Step 4: Simplify right side
    396.04x = 125,908.45
  5. Step 5: Solve for x
    x = 125,908.45/396.04
  6. Step 6: Final answer
    x = 317.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.