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Finding the Fourth Proportional to 478.58, 717.39 and 196.97

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Solution

The fourth proportional to 478.58, 717.39 and 196.97 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.58 : 717.39 = 196.97 : x
  2. Step 2: Convert to fraction form
    478.58/717.39 = 196.97/x
  3. Step 3: Cross multiply
    478.58x = 717.39 × 196.97
  4. Step 4: Simplify right side
    478.58x = 141,300.72
  5. Step 5: Solve for x
    x = 141,300.72/478.58
  6. Step 6: Final answer
    x = 295.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.