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Finding the Fourth Proportional to 578.68, 798.42 and 371.80

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Solution

The fourth proportional to 578.68, 798.42 and 371.80 is: 512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.68 : 798.42 = 371.80 : x
  2. Step 2: Convert to fraction form
    578.68/798.42 = 371.80/x
  3. Step 3: Cross multiply
    578.68x = 798.42 × 371.80
  4. Step 4: Simplify right side
    578.68x = 296,852.56
  5. Step 5: Solve for x
    x = 296,852.56/578.68
  6. Step 6: Final answer
    x = 512.98

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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.