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Finding the Fourth Proportional to 621.92, 858.31 and 385.80

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Solution

The fourth proportional to 621.92, 858.31 and 385.80 is: 532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.92 : 858.31 = 385.80 : x
  2. Step 2: Convert to fraction form
    621.92/858.31 = 385.80/x
  3. Step 3: Cross multiply
    621.92x = 858.31 × 385.80
  4. Step 4: Simplify right side
    621.92x = 331,136.00
  5. Step 5: Solve for x
    x = 331,136.00/621.92
  6. Step 6: Final answer
    x = 532.44

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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.