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Finding the Fourth Proportional to 393.88, 543.54 and 219.24

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Solution

The fourth proportional to 393.88, 543.54 and 219.24 is: 302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.88 : 543.54 = 219.24 : x
  2. Step 2: Convert to fraction form
    393.88/543.54 = 219.24/x
  3. Step 3: Cross multiply
    393.88x = 543.54 × 219.24
  4. Step 4: Simplify right side
    393.88x = 119,165.71
  5. Step 5: Solve for x
    x = 119,165.71/393.88
  6. Step 6: Final answer
    x = 302.54

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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.