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Finding the Fourth Proportional to 505.43, 757.76 and 197.24

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Solution

The fourth proportional to 505.43, 757.76 and 197.24 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.43 : 757.76 = 197.24 : x
  2. Step 2: Convert to fraction form
    505.43/757.76 = 197.24/x
  3. Step 3: Cross multiply
    505.43x = 757.76 × 197.24
  4. Step 4: Simplify right side
    505.43x = 149,455.81
  5. Step 5: Solve for x
    x = 149,455.81/505.43
  6. Step 6: Final answer
    x = 295.70

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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.