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Finding the Fourth Proportional to 382.89, 573.10 and 301.89

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Solution

The fourth proportional to 382.89, 573.10 and 301.89 is: 451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.89 : 573.10 = 301.89 : x
  2. Step 2: Convert to fraction form
    382.89/573.10 = 301.89/x
  3. Step 3: Cross multiply
    382.89x = 573.10 × 301.89
  4. Step 4: Simplify right side
    382.89x = 173,013.16
  5. Step 5: Solve for x
    x = 173,013.16/382.89
  6. Step 6: Final answer
    x = 451.86

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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.