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Finding the Fourth Proportional to 546.96, 820.46 and 238.58

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Solution

The fourth proportional to 546.96, 820.46 and 238.58 is: 357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 820.46 = 238.58 : x
  2. Step 2: Convert to fraction form
    546.96/820.46 = 238.58/x
  3. Step 3: Cross multiply
    546.96x = 820.46 × 238.58
  4. Step 4: Simplify right side
    546.96x = 195,745.35
  5. Step 5: Solve for x
    x = 195,745.35/546.96
  6. Step 6: Final answer
    x = 357.88

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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.