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Finding the Fourth Proportional to 600.26, 829.14 and 443.21

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Solution

The fourth proportional to 600.26, 829.14 and 443.21 is: 612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.26 : 829.14 = 443.21 : x
  2. Step 2: Convert to fraction form
    600.26/829.14 = 443.21/x
  3. Step 3: Cross multiply
    600.26x = 829.14 × 443.21
  4. Step 4: Simplify right side
    600.26x = 367,483.14
  5. Step 5: Solve for x
    x = 367,483.14/600.26
  6. Step 6: Final answer
    x = 612.21

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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.