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Finding the Fourth Proportional to 519.16, 716.49 and 298.24

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Solution

The fourth proportional to 519.16, 716.49 and 298.24 is: 411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.16 : 716.49 = 298.24 : x
  2. Step 2: Convert to fraction form
    519.16/716.49 = 298.24/x
  3. Step 3: Cross multiply
    519.16x = 716.49 × 298.24
  4. Step 4: Simplify right side
    519.16x = 213,685.98
  5. Step 5: Solve for x
    x = 213,685.98/519.16
  6. Step 6: Final answer
    x = 411.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.