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Finding the Fourth Proportional to 689.33, 950.73 and 453.02

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Solution

The fourth proportional to 689.33, 950.73 and 453.02 is: 624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.33 : 950.73 = 453.02 : x
  2. Step 2: Convert to fraction form
    689.33/950.73 = 453.02/x
  3. Step 3: Cross multiply
    689.33x = 950.73 × 453.02
  4. Step 4: Simplify right side
    689.33x = 430,694.95
  5. Step 5: Solve for x
    x = 430,694.95/689.33
  6. Step 6: Final answer
    x = 624.81

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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.