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Finding the Fourth Proportional to 578.54, 798.37 and 316.55

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Solution

The fourth proportional to 578.54, 798.37 and 316.55 is: 436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.54 : 798.37 = 316.55 : x
  2. Step 2: Convert to fraction form
    578.54/798.37 = 316.55/x
  3. Step 3: Cross multiply
    578.54x = 798.37 × 316.55
  4. Step 4: Simplify right side
    578.54x = 252,725.23
  5. Step 5: Solve for x
    x = 252,725.23/578.54
  6. Step 6: Final answer
    x = 436.83

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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.