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Finding the Fourth Proportional to 414.98, 622.34 and 141.02

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Solution

The fourth proportional to 414.98, 622.34 and 141.02 is: 211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 622.34 = 141.02 : x
  2. Step 2: Convert to fraction form
    414.98/622.34 = 141.02/x
  3. Step 3: Cross multiply
    414.98x = 622.34 × 141.02
  4. Step 4: Simplify right side
    414.98x = 87,762.39
  5. Step 5: Solve for x
    x = 87,762.39/414.98
  6. Step 6: Final answer
    x = 211.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.