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Finding the Fourth Proportional to 519.21, 716.49 and 298.20

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Solution

The fourth proportional to 519.21, 716.49 and 298.20 is: 411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 716.49 = 298.20 : x
  2. Step 2: Convert to fraction form
    519.21/716.49 = 298.20/x
  3. Step 3: Cross multiply
    519.21x = 716.49 × 298.20
  4. Step 4: Simplify right side
    519.21x = 213,653.74
  5. Step 5: Solve for x
    x = 213,653.74/519.21
  6. Step 6: Final answer
    x = 411.50

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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.