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Finding the Fourth Proportional to 814.57, 1,220.83 and 327.35

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Solution

The fourth proportional to 814.57, 1,220.83 and 327.35 is: 490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.57 : 1,220.83 = 327.35 : x
  2. Step 2: Convert to fraction form
    814.57/1,220.83 = 327.35/x
  3. Step 3: Cross multiply
    814.57x = 1,220.83 × 327.35
  4. Step 4: Simplify right side
    814.57x = 399,638.70
  5. Step 5: Solve for x
    x = 399,638.70/814.57
  6. Step 6: Final answer
    x = 490.61

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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.