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Finding the Fourth Proportional to 393.74, 543.37 and 216.70

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Solution

The fourth proportional to 393.74, 543.37 and 216.70 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.74 : 543.37 = 216.70 : x
  2. Step 2: Convert to fraction form
    393.74/543.37 = 216.70/x
  3. Step 3: Cross multiply
    393.74x = 543.37 × 216.70
  4. Step 4: Simplify right side
    393.74x = 117,747.20
  5. Step 5: Solve for x
    x = 117,747.20/393.74
  6. Step 6: Final answer
    x = 299.05

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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.