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Finding the Fourth Proportional to 505.72, 758.56 and 197.63

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Solution

The fourth proportional to 505.72, 758.56 and 197.63 is: 296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.72 : 758.56 = 197.63 : x
  2. Step 2: Convert to fraction form
    505.72/758.56 = 197.63/x
  3. Step 3: Cross multiply
    505.72x = 758.56 × 197.63
  4. Step 4: Simplify right side
    505.72x = 149,909.43
  5. Step 5: Solve for x
    x = 149,909.43/505.72
  6. Step 6: Final answer
    x = 296.43

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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.