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Finding the Fourth Proportional to 542.09, 811.10 and 321.91

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Solution

The fourth proportional to 542.09, 811.10 and 321.91 is: 481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.09 : 811.10 = 321.91 : x
  2. Step 2: Convert to fraction form
    542.09/811.10 = 321.91/x
  3. Step 3: Cross multiply
    542.09x = 811.10 × 321.91
  4. Step 4: Simplify right side
    542.09x = 261,098.17
  5. Step 5: Solve for x
    x = 261,098.17/542.09
  6. Step 6: Final answer
    x = 481.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.