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Finding the Fourth Proportional to 578.43, 798.17 and 342.39

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Solution

The fourth proportional to 578.43, 798.17 and 342.39 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 798.17 = 342.39 : x
  2. Step 2: Convert to fraction form
    578.43/798.17 = 342.39/x
  3. Step 3: Cross multiply
    578.43x = 798.17 × 342.39
  4. Step 4: Simplify right side
    578.43x = 273,285.43
  5. Step 5: Solve for x
    x = 273,285.43/578.43
  6. Step 6: Final answer
    x = 472.46

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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.