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Finding the Fourth Proportional to 396.61, 546.51 and 357.19

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Solution

The fourth proportional to 396.61, 546.51 and 357.19 is: 492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.61 : 546.51 = 357.19 : x
  2. Step 2: Convert to fraction form
    396.61/546.51 = 357.19/x
  3. Step 3: Cross multiply
    396.61x = 546.51 × 357.19
  4. Step 4: Simplify right side
    396.61x = 195,207.91
  5. Step 5: Solve for x
    x = 195,207.91/396.61
  6. Step 6: Final answer
    x = 492.19

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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.