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Finding the Fourth Proportional to 542.05, 748.06 and 321.02

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Solution

The fourth proportional to 542.05, 748.06 and 321.02 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.05 : 748.06 = 321.02 : x
  2. Step 2: Convert to fraction form
    542.05/748.06 = 321.02/x
  3. Step 3: Cross multiply
    542.05x = 748.06 × 321.02
  4. Step 4: Simplify right side
    542.05x = 240,137.68
  5. Step 5: Solve for x
    x = 240,137.68/542.05
  6. Step 6: Final answer
    x = 443.02

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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.