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Finding the Fourth Proportional to 518.26, 715.22 and 282.22

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Solution

The fourth proportional to 518.26, 715.22 and 282.22 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.26 : 715.22 = 282.22 : x
  2. Step 2: Convert to fraction form
    518.26/715.22 = 282.22/x
  3. Step 3: Cross multiply
    518.26x = 715.22 × 282.22
  4. Step 4: Simplify right side
    518.26x = 201,849.46
  5. Step 5: Solve for x
    x = 201,849.46/518.26
  6. Step 6: Final answer
    x = 389.47

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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.