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Finding the Fourth Proportional to 519.70, 717.07 and 323.08

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Solution

The fourth proportional to 519.70, 717.07 and 323.08 is: 445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 717.07 = 323.08 : x
  2. Step 2: Convert to fraction form
    519.70/717.07 = 323.08/x
  3. Step 3: Cross multiply
    519.70x = 717.07 × 323.08
  4. Step 4: Simplify right side
    519.70x = 231,670.98
  5. Step 5: Solve for x
    x = 231,670.98/519.70
  6. Step 6: Final answer
    x = 445.78

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Why These Related Problems?

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