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Finding the Fourth Proportional to 689.41, 951.34 and 409.63

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Solution

The fourth proportional to 689.41, 951.34 and 409.63 is: 565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.41 : 951.34 = 409.63 : x
  2. Step 2: Convert to fraction form
    689.41/951.34 = 409.63/x
  3. Step 3: Cross multiply
    689.41x = 951.34 × 409.63
  4. Step 4: Simplify right side
    689.41x = 389,697.40
  5. Step 5: Solve for x
    x = 389,697.40/689.41
  6. Step 6: Final answer
    x = 565.26

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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.