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Finding the Fourth Proportional to 581.66, 871.59 and 321.44

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Solution

The fourth proportional to 581.66, 871.59 and 321.44 is: 481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.66 : 871.59 = 321.44 : x
  2. Step 2: Convert to fraction form
    581.66/871.59 = 321.44/x
  3. Step 3: Cross multiply
    581.66x = 871.59 × 321.44
  4. Step 4: Simplify right side
    581.66x = 280,163.89
  5. Step 5: Solve for x
    x = 280,163.89/581.66
  6. Step 6: Final answer
    x = 481.66

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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.