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Finding the Fourth Proportional to 499.96, 749.83 and 362.43

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Solution

The fourth proportional to 499.96, 749.83 and 362.43 is: 543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.96 : 749.83 = 362.43 : x
  2. Step 2: Convert to fraction form
    499.96/749.83 = 362.43/x
  3. Step 3: Cross multiply
    499.96x = 749.83 × 362.43
  4. Step 4: Simplify right side
    499.96x = 271,759.98
  5. Step 5: Solve for x
    x = 271,759.98/499.96
  6. Step 6: Final answer
    x = 543.57

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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.