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Finding the Fourth Proportional to 689.07, 950.91 and 374.33

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Solution

The fourth proportional to 689.07, 950.91 and 374.33 is: 516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.07 : 950.91 = 374.33 : x
  2. Step 2: Convert to fraction form
    689.07/950.91 = 374.33/x
  3. Step 3: Cross multiply
    689.07x = 950.91 × 374.33
  4. Step 4: Simplify right side
    689.07x = 355,954.14
  5. Step 5: Solve for x
    x = 355,954.14/689.07
  6. Step 6: Final answer
    x = 516.57

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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.