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Finding the Fourth Proportional to 519.86, 717.53 and 298.94

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Solution

The fourth proportional to 519.86, 717.53 and 298.94 is: 412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.86 : 717.53 = 298.94 : x
  2. Step 2: Convert to fraction form
    519.86/717.53 = 298.94/x
  3. Step 3: Cross multiply
    519.86x = 717.53 × 298.94
  4. Step 4: Simplify right side
    519.86x = 214,499.05
  5. Step 5: Solve for x
    x = 214,499.05/519.86
  6. Step 6: Final answer
    x = 412.61

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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.