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Finding the Fourth Proportional to 519.53, 716.98 and 298.49

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Solution

The fourth proportional to 519.53, 716.98 and 298.49 is: 411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.53 : 716.98 = 298.49 : x
  2. Step 2: Convert to fraction form
    519.53/716.98 = 298.49/x
  3. Step 3: Cross multiply
    519.53x = 716.98 × 298.49
  4. Step 4: Simplify right side
    519.53x = 214,006.75
  5. Step 5: Solve for x
    x = 214,006.75/519.53
  6. Step 6: Final answer
    x = 411.92

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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.