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Finding the Fourth Proportional to 826.05, 1,238.40 and 305.72

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Solution

The fourth proportional to 826.05, 1,238.40 and 305.72 is: 458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.05 : 1,238.40 = 305.72 : x
  2. Step 2: Convert to fraction form
    826.05/1,238.40 = 305.72/x
  3. Step 3: Cross multiply
    826.05x = 1,238.40 × 305.72
  4. Step 4: Simplify right side
    826.05x = 378,603.65
  5. Step 5: Solve for x
    x = 378,603.65/826.05
  6. Step 6: Final answer
    x = 458.33

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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.