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Finding the Fourth Proportional to 505.45, 757.84 and 197.34

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Solution

The fourth proportional to 505.45, 757.84 and 197.34 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.45 : 757.84 = 197.34 : x
  2. Step 2: Convert to fraction form
    505.45/757.84 = 197.34/x
  3. Step 3: Cross multiply
    505.45x = 757.84 × 197.34
  4. Step 4: Simplify right side
    505.45x = 149,552.15
  5. Step 5: Solve for x
    x = 149,552.15/505.45
  6. Step 6: Final answer
    x = 295.88

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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.