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Finding the Fourth Proportional to 397.26, 547.97 and 242.01

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Solution

The fourth proportional to 397.26, 547.97 and 242.01 is: 333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.26 : 547.97 = 242.01 : x
  2. Step 2: Convert to fraction form
    397.26/547.97 = 242.01/x
  3. Step 3: Cross multiply
    397.26x = 547.97 × 242.01
  4. Step 4: Simplify right side
    397.26x = 132,613.01
  5. Step 5: Solve for x
    x = 132,613.01/397.26
  6. Step 6: Final answer
    x = 333.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.