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Finding the Fourth Proportional to 518.92, 716.09 and 297.93

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Solution

The fourth proportional to 518.92, 716.09 and 297.93 is: 411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.92 : 716.09 = 297.93 : x
  2. Step 2: Convert to fraction form
    518.92/716.09 = 297.93/x
  3. Step 3: Cross multiply
    518.92x = 716.09 × 297.93
  4. Step 4: Simplify right side
    518.92x = 213,339.62
  5. Step 5: Solve for x
    x = 213,339.62/518.92
  6. Step 6: Final answer
    x = 411.12

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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.