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Finding the Fourth Proportional to 519.86, 717.33 and 298.82

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Solution

The fourth proportional to 519.86, 717.33 and 298.82 is: 412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.86 : 717.33 = 298.82 : x
  2. Step 2: Convert to fraction form
    519.86/717.33 = 298.82/x
  3. Step 3: Cross multiply
    519.86x = 717.33 × 298.82
  4. Step 4: Simplify right side
    519.86x = 214,352.55
  5. Step 5: Solve for x
    x = 214,352.55/519.86
  6. Step 6: Final answer
    x = 412.33

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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.