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Finding the Fourth Proportional to 321.35, 481.58 and 174.74

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Solution

The fourth proportional to 321.35, 481.58 and 174.74 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.35 : 481.58 = 174.74 : x
  2. Step 2: Convert to fraction form
    321.35/481.58 = 174.74/x
  3. Step 3: Cross multiply
    321.35x = 481.58 × 174.74
  4. Step 4: Simplify right side
    321.35x = 84,152.93
  5. Step 5: Solve for x
    x = 84,152.93/321.35
  6. Step 6: Final answer
    x = 261.87

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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.