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Finding the Fourth Proportional to 814.16, 1,220.84 and 326.82

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Solution

The fourth proportional to 814.16, 1,220.84 and 326.82 is: 490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.16 : 1,220.84 = 326.82 : x
  2. Step 2: Convert to fraction form
    814.16/1,220.84 = 326.82/x
  3. Step 3: Cross multiply
    814.16x = 1,220.84 × 326.82
  4. Step 4: Simplify right side
    814.16x = 398,994.93
  5. Step 5: Solve for x
    x = 398,994.93/814.16
  6. Step 6: Final answer
    x = 490.07

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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.