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Finding the Fourth Proportional to 519.56, 716.82 and 298.36

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Solution

The fourth proportional to 519.56, 716.82 and 298.36 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 716.82 = 298.36 : x
  2. Step 2: Convert to fraction form
    519.56/716.82 = 298.36/x
  3. Step 3: Cross multiply
    519.56x = 716.82 × 298.36
  4. Step 4: Simplify right side
    519.56x = 213,866.83
  5. Step 5: Solve for x
    x = 213,866.83/519.56
  6. Step 6: Final answer
    x = 411.63

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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.