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Finding the Fourth Proportional to 689.64, 951.06 and 441.12

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Solution

The fourth proportional to 689.64, 951.06 and 441.12 is: 608.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 951.06 = 441.12 : x
  2. Step 2: Convert to fraction form
    689.64/951.06 = 441.12/x
  3. Step 3: Cross multiply
    689.64x = 951.06 × 441.12
  4. Step 4: Simplify right side
    689.64x = 419,531.59
  5. Step 5: Solve for x
    x = 419,531.59/689.64
  6. Step 6: Final answer
    x = 608.33

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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.