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Finding the Fourth Proportional to 689.28, 951.34 and 453.42

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Solution

The fourth proportional to 689.28, 951.34 and 453.42 is: 625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.28 : 951.34 = 453.42 : x
  2. Step 2: Convert to fraction form
    689.28/951.34 = 453.42/x
  3. Step 3: Cross multiply
    689.28x = 951.34 × 453.42
  4. Step 4: Simplify right side
    689.28x = 431,356.58
  5. Step 5: Solve for x
    x = 431,356.58/689.28
  6. Step 6: Final answer
    x = 625.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.