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Finding the Fourth Proportional to 518.92, 715.99 and 379.11

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Solution

The fourth proportional to 518.92, 715.99 and 379.11 is: 523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.92 : 715.99 = 379.11 : x
  2. Step 2: Convert to fraction form
    518.92/715.99 = 379.11/x
  3. Step 3: Cross multiply
    518.92x = 715.99 × 379.11
  4. Step 4: Simplify right side
    518.92x = 271,438.97
  5. Step 5: Solve for x
    x = 271,438.97/518.92
  6. Step 6: Final answer
    x = 523.08

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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.