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Finding the Fourth Proportional to 689.31, 951.09 and 409.50

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Solution

The fourth proportional to 689.31, 951.09 and 409.50 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.31 : 951.09 = 409.50 : x
  2. Step 2: Convert to fraction form
    689.31/951.09 = 409.50/x
  3. Step 3: Cross multiply
    689.31x = 951.09 × 409.50
  4. Step 4: Simplify right side
    689.31x = 389,471.36
  5. Step 5: Solve for x
    x = 389,471.36/689.31
  6. Step 6: Final answer
    x = 565.02

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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.