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Finding the Fourth Proportional to 393.91, 543.56 and 219.24

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Solution

The fourth proportional to 393.91, 543.56 and 219.24 is: 302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.91 : 543.56 = 219.24 : x
  2. Step 2: Convert to fraction form
    393.91/543.56 = 219.24/x
  3. Step 3: Cross multiply
    393.91x = 543.56 × 219.24
  4. Step 4: Simplify right side
    393.91x = 119,169.00
  5. Step 5: Solve for x
    x = 119,169.00/393.91
  6. Step 6: Final answer
    x = 302.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.