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Finding the Fourth Proportional to 518.43, 715.12 and 378.71

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Solution

The fourth proportional to 518.43, 715.12 and 378.71 is: 522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.43 : 715.12 = 378.71 : x
  2. Step 2: Convert to fraction form
    518.43/715.12 = 378.71/x
  3. Step 3: Cross multiply
    518.43x = 715.12 × 378.71
  4. Step 4: Simplify right side
    518.43x = 270,823.10
  5. Step 5: Solve for x
    x = 270,823.10/518.43
  6. Step 6: Final answer
    x = 522.39

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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.