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Finding the Fourth Proportional to 519.26, 716.63 and 298.22

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Solution

The fourth proportional to 519.26, 716.63 and 298.22 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.26 : 716.63 = 298.22 : x
  2. Step 2: Convert to fraction form
    519.26/716.63 = 298.22/x
  3. Step 3: Cross multiply
    519.26x = 716.63 × 298.22
  4. Step 4: Simplify right side
    519.26x = 213,708.32
  5. Step 5: Solve for x
    x = 213,708.32/519.26
  6. Step 6: Final answer
    x = 411.57

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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.