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Finding the Fourth Proportional to 438.14, 605.39 and 382.79

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Solution

The fourth proportional to 438.14, 605.39 and 382.79 is: 528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.14 : 605.39 = 382.79 : x
  2. Step 2: Convert to fraction form
    438.14/605.39 = 382.79/x
  3. Step 3: Cross multiply
    438.14x = 605.39 × 382.79
  4. Step 4: Simplify right side
    438.14x = 231,738.99
  5. Step 5: Solve for x
    x = 231,738.99/438.14
  6. Step 6: Final answer
    x = 528.91

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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.