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Finding the Fourth Proportional to 393.84, 543.46 and 219.16

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Solution

The fourth proportional to 393.84, 543.46 and 219.16 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.84 : 543.46 = 219.16 : x
  2. Step 2: Convert to fraction form
    393.84/543.46 = 219.16/x
  3. Step 3: Cross multiply
    393.84x = 543.46 × 219.16
  4. Step 4: Simplify right side
    393.84x = 119,104.69
  5. Step 5: Solve for x
    x = 119,104.69/393.84
  6. Step 6: Final answer
    x = 302.42

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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.