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Finding the Fourth Proportional to 543.14, 749.40 and 321.97

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Solution

The fourth proportional to 543.14, 749.40 and 321.97 is: 444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.14 : 749.40 = 321.97 : x
  2. Step 2: Convert to fraction form
    543.14/749.40 = 321.97/x
  3. Step 3: Cross multiply
    543.14x = 749.40 × 321.97
  4. Step 4: Simplify right side
    543.14x = 241,280.57
  5. Step 5: Solve for x
    x = 241,280.57/543.14
  6. Step 6: Final answer
    x = 444.23

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Why These Related Problems?

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