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Finding the Fourth Proportional to 393.70, 543.29 and 219.03

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Solution

The fourth proportional to 393.70, 543.29 and 219.03 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.70 : 543.29 = 219.03 : x
  2. Step 2: Convert to fraction form
    393.70/543.29 = 219.03/x
  3. Step 3: Cross multiply
    393.70x = 543.29 × 219.03
  4. Step 4: Simplify right side
    393.70x = 118,996.81
  5. Step 5: Solve for x
    x = 118,996.81/393.70
  6. Step 6: Final answer
    x = 302.25

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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.