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Finding the Fourth Proportional to 496.56, 744.96 and 207.92

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Solution

The fourth proportional to 496.56, 744.96 and 207.92 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 744.96 = 207.92 : x
  2. Step 2: Convert to fraction form
    496.56/744.96 = 207.92/x
  3. Step 3: Cross multiply
    496.56x = 744.96 × 207.92
  4. Step 4: Simplify right side
    496.56x = 154,892.08
  5. Step 5: Solve for x
    x = 154,892.08/496.56
  6. Step 6: Final answer
    x = 311.93

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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.