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Finding the Fourth Proportional to 415.97, 622.75 and 242.11

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Solution

The fourth proportional to 415.97, 622.75 and 242.11 is: 362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.97 : 622.75 = 242.11 : x
  2. Step 2: Convert to fraction form
    415.97/622.75 = 242.11/x
  3. Step 3: Cross multiply
    415.97x = 622.75 × 242.11
  4. Step 4: Simplify right side
    415.97x = 150,769.68
  5. Step 5: Solve for x
    x = 150,769.68/415.97
  6. Step 6: Final answer
    x = 362.45

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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.