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Finding the Fourth Proportional to 976.83, 1,464.76 and 327.34

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Solution

The fourth proportional to 976.83, 1,464.76 and 327.34 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.83 : 1,464.76 = 327.34 : x
  2. Step 2: Convert to fraction form
    976.83/1,464.76 = 327.34/x
  3. Step 3: Cross multiply
    976.83x = 1,464.76 × 327.34
  4. Step 4: Simplify right side
    976.83x = 479,474.54
  5. Step 5: Solve for x
    x = 479,474.54/976.83
  6. Step 6: Final answer
    x = 490.85

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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.