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Finding the Fourth Proportional to 499.24, 749.22 and 206.76

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Solution

The fourth proportional to 499.24, 749.22 and 206.76 is: 310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.24 : 749.22 = 206.76 : x
  2. Step 2: Convert to fraction form
    499.24/749.22 = 206.76/x
  3. Step 3: Cross multiply
    499.24x = 749.22 × 206.76
  4. Step 4: Simplify right side
    499.24x = 154,908.73
  5. Step 5: Solve for x
    x = 154,908.73/499.24
  6. Step 6: Final answer
    x = 310.29

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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.