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Finding the Fourth Proportional to 689.09, 950.83 and 409.28

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Solution

The fourth proportional to 689.09, 950.83 and 409.28 is: 564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.09 : 950.83 = 409.28 : x
  2. Step 2: Convert to fraction form
    689.09/950.83 = 409.28/x
  3. Step 3: Cross multiply
    689.09x = 950.83 × 409.28
  4. Step 4: Simplify right side
    689.09x = 389,155.70
  5. Step 5: Solve for x
    x = 389,155.70/689.09
  6. Step 6: Final answer
    x = 564.74

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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.