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Finding the Fourth Proportional to 415.14, 622.71 and 195.71

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Solution

The fourth proportional to 415.14, 622.71 and 195.71 is: 293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.14 : 622.71 = 195.71 : x
  2. Step 2: Convert to fraction form
    415.14/622.71 = 195.71/x
  3. Step 3: Cross multiply
    415.14x = 622.71 × 195.71
  4. Step 4: Simplify right side
    415.14x = 121,867.46
  5. Step 5: Solve for x
    x = 121,867.46/415.14
  6. Step 6: Final answer
    x = 293.56

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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.