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Finding the Fourth Proportional to 536.67, 739.94 and 438.21

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Solution

The fourth proportional to 536.67, 739.94 and 438.21 is: 604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 739.94 = 438.21 : x
  2. Step 2: Convert to fraction form
    536.67/739.94 = 438.21/x
  3. Step 3: Cross multiply
    536.67x = 739.94 × 438.21
  4. Step 4: Simplify right side
    536.67x = 324,246.92
  5. Step 5: Solve for x
    x = 324,246.92/536.67
  6. Step 6: Final answer
    x = 604.18

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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.