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Finding the Fourth Proportional to 518.92, 716.11 and 286.04

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Solution

The fourth proportional to 518.92, 716.11 and 286.04 is: 394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.92 : 716.11 = 286.04 : x
  2. Step 2: Convert to fraction form
    518.92/716.11 = 286.04/x
  3. Step 3: Cross multiply
    518.92x = 716.11 × 286.04
  4. Step 4: Simplify right side
    518.92x = 204,837.18
  5. Step 5: Solve for x
    x = 204,837.18/518.92
  6. Step 6: Final answer
    x = 394.74

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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.