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Finding the Fourth Proportional to 823.34, 1,235.37 and 438.62

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Solution

The fourth proportional to 823.34, 1,235.37 and 438.62 is: 658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,235.37 = 438.62 : x
  2. Step 2: Convert to fraction form
    823.34/1,235.37 = 438.62/x
  3. Step 3: Cross multiply
    823.34x = 1,235.37 × 438.62
  4. Step 4: Simplify right side
    823.34x = 541,857.99
  5. Step 5: Solve for x
    x = 541,857.99/823.34
  6. Step 6: Final answer
    x = 658.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.