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Finding the Fourth Proportional to 499.59, 749.48 and 225.81

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Solution

The fourth proportional to 499.59, 749.48 and 225.81 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.59 : 749.48 = 225.81 : x
  2. Step 2: Convert to fraction form
    499.59/749.48 = 225.81/x
  3. Step 3: Cross multiply
    499.59x = 749.48 × 225.81
  4. Step 4: Simplify right side
    499.59x = 169,238.95
  5. Step 5: Solve for x
    x = 169,238.95/499.59
  6. Step 6: Final answer
    x = 338.76

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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.