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Finding the Fourth Proportional to 519.84, 717.11 and 323.01

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Solution

The fourth proportional to 519.84, 717.11 and 323.01 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.84 : 717.11 = 323.01 : x
  2. Step 2: Convert to fraction form
    519.84/717.11 = 323.01/x
  3. Step 3: Cross multiply
    519.84x = 717.11 × 323.01
  4. Step 4: Simplify right side
    519.84x = 231,633.70
  5. Step 5: Solve for x
    x = 231,633.70/519.84
  6. Step 6: Final answer
    x = 445.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.