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Finding the Fourth Proportional to 525.43, 788.46 and 196.44

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Solution

The fourth proportional to 525.43, 788.46 and 196.44 is: 294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.43 : 788.46 = 196.44 : x
  2. Step 2: Convert to fraction form
    525.43/788.46 = 196.44/x
  3. Step 3: Cross multiply
    525.43x = 788.46 × 196.44
  4. Step 4: Simplify right side
    525.43x = 154,885.08
  5. Step 5: Solve for x
    x = 154,885.08/525.43
  6. Step 6: Final answer
    x = 294.78

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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.