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Finding the Fourth Proportional to 518.47, 715.48 and 282.43

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Solution

The fourth proportional to 518.47, 715.48 and 282.43 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.47 : 715.48 = 282.43 : x
  2. Step 2: Convert to fraction form
    518.47/715.48 = 282.43/x
  3. Step 3: Cross multiply
    518.47x = 715.48 × 282.43
  4. Step 4: Simplify right side
    518.47x = 202,072.78
  5. Step 5: Solve for x
    x = 202,072.78/518.47
  6. Step 6: Final answer
    x = 389.75

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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.