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Finding the Fourth Proportional to 382.09, 572.04 and 236.83

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Solution

The fourth proportional to 382.09, 572.04 and 236.83 is: 354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 572.04 = 236.83 : x
  2. Step 2: Convert to fraction form
    382.09/572.04 = 236.83/x
  3. Step 3: Cross multiply
    382.09x = 572.04 × 236.83
  4. Step 4: Simplify right side
    382.09x = 135,476.23
  5. Step 5: Solve for x
    x = 135,476.23/382.09
  6. Step 6: Final answer
    x = 354.57

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Why These Related Problems?

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