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Finding the Fourth Proportional to 393.87, 543.53 and 219.23

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Solution

The fourth proportional to 393.87, 543.53 and 219.23 is: 302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.87 : 543.53 = 219.23 : x
  2. Step 2: Convert to fraction form
    393.87/543.53 = 219.23/x
  3. Step 3: Cross multiply
    393.87x = 543.53 × 219.23
  4. Step 4: Simplify right side
    393.87x = 119,155.91
  5. Step 5: Solve for x
    x = 119,155.91/393.87
  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.