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Finding the Fourth Proportional to 397.05, 547.79 and 241.71

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Solution

The fourth proportional to 397.05, 547.79 and 241.71 is: 333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.05 : 547.79 = 241.71 : x
  2. Step 2: Convert to fraction form
    397.05/547.79 = 241.71/x
  3. Step 3: Cross multiply
    397.05x = 547.79 × 241.71
  4. Step 4: Simplify right side
    397.05x = 132,406.32
  5. Step 5: Solve for x
    x = 132,406.32/397.05
  6. Step 6: Final answer
    x = 333.48

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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.