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Finding the Fourth Proportional to 538.48, 806.55 and 321.58

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Solution

The fourth proportional to 538.48, 806.55 and 321.58 is: 481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.48 : 806.55 = 321.58 : x
  2. Step 2: Convert to fraction form
    538.48/806.55 = 321.58/x
  3. Step 3: Cross multiply
    538.48x = 806.55 × 321.58
  4. Step 4: Simplify right side
    538.48x = 259,370.35
  5. Step 5: Solve for x
    x = 259,370.35/538.48
  6. Step 6: Final answer
    x = 481.67

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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.