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Finding the Fourth Proportional to 543.96, 816.22 and 349.07

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Solution

The fourth proportional to 543.96, 816.22 and 349.07 is: 523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.96 : 816.22 = 349.07 : x
  2. Step 2: Convert to fraction form
    543.96/816.22 = 349.07/x
  3. Step 3: Cross multiply
    543.96x = 816.22 × 349.07
  4. Step 4: Simplify right side
    543.96x = 284,916.02
  5. Step 5: Solve for x
    x = 284,916.02/543.96
  6. Step 6: Final answer
    x = 523.78

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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.