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Finding the Fourth Proportional to 689.33, 951.42 and 409.58

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Solution

The fourth proportional to 689.33, 951.42 and 409.58 is: 565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.33 : 951.42 = 409.58 : x
  2. Step 2: Convert to fraction form
    689.33/951.42 = 409.58/x
  3. Step 3: Cross multiply
    689.33x = 951.42 × 409.58
  4. Step 4: Simplify right side
    689.33x = 389,682.60
  5. Step 5: Solve for x
    x = 389,682.60/689.33
  6. Step 6: Final answer
    x = 565.31

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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.