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Finding the Fourth Proportional to 546.35, 818.03 and 381.33

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Solution

The fourth proportional to 546.35, 818.03 and 381.33 is: 570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.35 : 818.03 = 381.33 : x
  2. Step 2: Convert to fraction form
    546.35/818.03 = 381.33/x
  3. Step 3: Cross multiply
    546.35x = 818.03 × 381.33
  4. Step 4: Simplify right side
    546.35x = 311,940.33
  5. Step 5: Solve for x
    x = 311,940.33/546.35
  6. Step 6: Final answer
    x = 570.96

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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.