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Finding the Fourth Proportional to 826.10, 1,238.41 and 305.99

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Solution

The fourth proportional to 826.10, 1,238.41 and 305.99 is: 458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.10 : 1,238.41 = 305.99 : x
  2. Step 2: Convert to fraction form
    826.10/1,238.41 = 305.99/x
  3. Step 3: Cross multiply
    826.10x = 1,238.41 × 305.99
  4. Step 4: Simplify right side
    826.10x = 378,941.08
  5. Step 5: Solve for x
    x = 378,941.08/826.10
  6. Step 6: Final answer
    x = 458.71

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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.