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Finding the Fourth Proportional to 577.23, 865.85 and 321.27

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Solution

The fourth proportional to 577.23, 865.85 and 321.27 is: 481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.23 : 865.85 = 321.27 : x
  2. Step 2: Convert to fraction form
    577.23/865.85 = 321.27/x
  3. Step 3: Cross multiply
    577.23x = 865.85 × 321.27
  4. Step 4: Simplify right side
    577.23x = 278,170.02
  5. Step 5: Solve for x
    x = 278,170.02/577.23
  6. Step 6: Final answer
    x = 481.91

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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.