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Finding the Fourth Proportional to 689.12, 950.82 and 409.43

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Solution

The fourth proportional to 689.12, 950.82 and 409.43 is: 564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.12 : 950.82 = 409.43 : x
  2. Step 2: Convert to fraction form
    689.12/950.82 = 409.43/x
  3. Step 3: Cross multiply
    689.12x = 950.82 × 409.43
  4. Step 4: Simplify right side
    689.12x = 389,289.48
  5. Step 5: Solve for x
    x = 389,289.48/689.12
  6. Step 6: Final answer
    x = 564.91

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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.