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Finding the Fourth Proportional to 546.89, 820.33 and 254.30

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Solution

The fourth proportional to 546.89, 820.33 and 254.30 is: 381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.89 : 820.33 = 254.30 : x
  2. Step 2: Convert to fraction form
    546.89/820.33 = 254.30/x
  3. Step 3: Cross multiply
    546.89x = 820.33 × 254.30
  4. Step 4: Simplify right side
    546.89x = 208,609.92
  5. Step 5: Solve for x
    x = 208,609.92/546.89
  6. Step 6: Final answer
    x = 381.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.