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Finding the Fourth Proportional to 519.42, 716.78 and 298.43

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Solution

The fourth proportional to 519.42, 716.78 and 298.43 is: 411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.42 : 716.78 = 298.43 : x
  2. Step 2: Convert to fraction form
    519.42/716.78 = 298.43/x
  3. Step 3: Cross multiply
    519.42x = 716.78 × 298.43
  4. Step 4: Simplify right side
    519.42x = 213,903.58
  5. Step 5: Solve for x
    x = 213,903.58/519.42
  6. Step 6: Final answer
    x = 411.81

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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.