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Finding the Fourth Proportional to 543.43, 749.92 and 322.49

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Solution

The fourth proportional to 543.43, 749.92 and 322.49 is: 445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.43 : 749.92 = 322.49 : x
  2. Step 2: Convert to fraction form
    543.43/749.92 = 322.49/x
  3. Step 3: Cross multiply
    543.43x = 749.92 × 322.49
  4. Step 4: Simplify right side
    543.43x = 241,841.70
  5. Step 5: Solve for x
    x = 241,841.70/543.43
  6. Step 6: Final answer
    x = 445.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.