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Finding the Fourth Proportional to 543.01, 749.29 and 321.92

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Solution

The fourth proportional to 543.01, 749.29 and 321.92 is: 444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.01 : 749.29 = 321.92 : x
  2. Step 2: Convert to fraction form
    543.01/749.29 = 321.92/x
  3. Step 3: Cross multiply
    543.01x = 749.29 × 321.92
  4. Step 4: Simplify right side
    543.01x = 241,211.44
  5. Step 5: Solve for x
    x = 241,211.44/543.01
  6. Step 6: Final answer
    x = 444.21

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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.