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Finding the Fourth Proportional to 826.32, 1,238.69 and 306.18

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Solution

The fourth proportional to 826.32, 1,238.69 and 306.18 is: 458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.32 : 1,238.69 = 306.18 : x
  2. Step 2: Convert to fraction form
    826.32/1,238.69 = 306.18/x
  3. Step 3: Cross multiply
    826.32x = 1,238.69 × 306.18
  4. Step 4: Simplify right side
    826.32x = 379,265.10
  5. Step 5: Solve for x
    x = 379,265.10/826.32
  6. Step 6: Final answer
    x = 458.98

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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.