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Finding the Fourth Proportional to 578.54, 798.73 and 382.39

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Solution

The fourth proportional to 578.54, 798.73 and 382.39 is: 527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.54 : 798.73 = 382.39 : x
  2. Step 2: Convert to fraction form
    578.54/798.73 = 382.39/x
  3. Step 3: Cross multiply
    578.54x = 798.73 × 382.39
  4. Step 4: Simplify right side
    578.54x = 305,423.41
  5. Step 5: Solve for x
    x = 305,423.41/578.54
  6. Step 6: Final answer
    x = 527.92

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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.