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Finding the Fourth Proportional to 518.27, 715.22 and 282.23

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Solution

The fourth proportional to 518.27, 715.22 and 282.23 is: 389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.27 : 715.22 = 282.23 : x
  2. Step 2: Convert to fraction form
    518.27/715.22 = 282.23/x
  3. Step 3: Cross multiply
    518.27x = 715.22 × 282.23
  4. Step 4: Simplify right side
    518.27x = 201,856.54
  5. Step 5: Solve for x
    x = 201,856.54/518.27
  6. Step 6: Final answer
    x = 389.48

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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.