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Finding the Fourth Proportional to 382.84, 574.97 and 229.07

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Solution

The fourth proportional to 382.84, 574.97 and 229.07 is: 344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 574.97 = 229.07 : x
  2. Step 2: Convert to fraction form
    382.84/574.97 = 229.07/x
  3. Step 3: Cross multiply
    382.84x = 574.97 × 229.07
  4. Step 4: Simplify right side
    382.84x = 131,708.67
  5. Step 5: Solve for x
    x = 131,708.67/382.84
  6. Step 6: Final answer
    x = 344.03

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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.