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Finding the Fourth Proportional to 397.22, 547.89 and 242.06

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Solution

The fourth proportional to 397.22, 547.89 and 242.06 is: 333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.22 : 547.89 = 242.06 : x
  2. Step 2: Convert to fraction form
    397.22/547.89 = 242.06/x
  3. Step 3: Cross multiply
    397.22x = 547.89 × 242.06
  4. Step 4: Simplify right side
    397.22x = 132,622.25
  5. Step 5: Solve for x
    x = 132,622.25/397.22
  6. Step 6: Final answer
    x = 333.88

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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.