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Finding the Fourth Proportional to 441.31, 609.06 and 283.88

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Solution

The fourth proportional to 441.31, 609.06 and 283.88 is: 391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.31 : 609.06 = 283.88 : x
  2. Step 2: Convert to fraction form
    441.31/609.06 = 283.88/x
  3. Step 3: Cross multiply
    441.31x = 609.06 × 283.88
  4. Step 4: Simplify right side
    441.31x = 172,899.95
  5. Step 5: Solve for x
    x = 172,899.95/441.31
  6. Step 6: Final answer
    x = 391.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.