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Finding the Fourth Proportional to 689.77, 951.62 and 441.06

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Solution

The fourth proportional to 689.77, 951.62 and 441.06 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 951.62 = 441.06 : x
  2. Step 2: Convert to fraction form
    689.77/951.62 = 441.06/x
  3. Step 3: Cross multiply
    689.77x = 951.62 × 441.06
  4. Step 4: Simplify right side
    689.77x = 419,722.62
  5. Step 5: Solve for x
    x = 419,722.62/689.77
  6. Step 6: Final answer
    x = 608.50

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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.