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Finding the Fourth Proportional to 814.16, 1,220.94 and 327.05

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Solution

The fourth proportional to 814.16, 1,220.94 and 327.05 is: 490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.16 : 1,220.94 = 327.05 : x
  2. Step 2: Convert to fraction form
    814.16/1,220.94 = 327.05/x
  3. Step 3: Cross multiply
    814.16x = 1,220.94 × 327.05
  4. Step 4: Simplify right side
    814.16x = 399,306.90
  5. Step 5: Solve for x
    x = 399,306.90/814.16
  6. Step 6: Final answer
    x = 490.45

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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.