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Finding the Fourth Proportional to 650.82, 976.03 and 321.55

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Solution

The fourth proportional to 650.82, 976.03 and 321.55 is: 482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.82 : 976.03 = 321.55 : x
  2. Step 2: Convert to fraction form
    650.82/976.03 = 321.55/x
  3. Step 3: Cross multiply
    650.82x = 976.03 × 321.55
  4. Step 4: Simplify right side
    650.82x = 313,842.45
  5. Step 5: Solve for x
    x = 313,842.45/650.82
  6. Step 6: Final answer
    x = 482.23

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