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Finding the Fourth Proportional to 600.89, 829.44 and 453.27

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Solution

The fourth proportional to 600.89, 829.44 and 453.27 is: 625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.89 : 829.44 = 453.27 : x
  2. Step 2: Convert to fraction form
    600.89/829.44 = 453.27/x
  3. Step 3: Cross multiply
    600.89x = 829.44 × 453.27
  4. Step 4: Simplify right side
    600.89x = 375,960.27
  5. Step 5: Solve for x
    x = 375,960.27/600.89
  6. Step 6: Final answer
    x = 625.68

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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.