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Finding the Fourth Proportional to 689.50, 951.41 and 409.63

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Solution

The fourth proportional to 689.50, 951.41 and 409.63 is: 565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.50 : 951.41 = 409.63 : x
  2. Step 2: Convert to fraction form
    689.50/951.41 = 409.63/x
  3. Step 3: Cross multiply
    689.50x = 951.41 × 409.63
  4. Step 4: Simplify right side
    689.50x = 389,729.18
  5. Step 5: Solve for x
    x = 389,729.18/689.50
  6. Step 6: Final answer
    x = 565.23

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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.