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Finding the Fourth Proportional to 505.34, 757.96 and 197.44

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Solution

The fourth proportional to 505.34, 757.96 and 197.44 is: 296.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 757.96 = 197.44 : x
  2. Step 2: Convert to fraction form
    505.34/757.96 = 197.44/x
  3. Step 3: Cross multiply
    505.34x = 757.96 × 197.44
  4. Step 4: Simplify right side
    505.34x = 149,649.23
  5. Step 5: Solve for x
    x = 149,649.23/505.34
  6. Step 6: Final answer
    x = 296.14

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