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Finding the Fourth Proportional to 519.50, 717.09 and 364.70

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Solution

The fourth proportional to 519.50, 717.09 and 364.70 is: 503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 717.09 = 364.70 : x
  2. Step 2: Convert to fraction form
    519.50/717.09 = 364.70/x
  3. Step 3: Cross multiply
    519.50x = 717.09 × 364.70
  4. Step 4: Simplify right side
    519.50x = 261,522.72
  5. Step 5: Solve for x
    x = 261,522.72/519.50
  6. Step 6: Final answer
    x = 503.41

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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.