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Finding the Fourth Proportional to 397.08, 547.89 and 344.54

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Solution

The fourth proportional to 397.08, 547.89 and 344.54 is: 475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 547.89 = 344.54 : x
  2. Step 2: Convert to fraction form
    397.08/547.89 = 344.54/x
  3. Step 3: Cross multiply
    397.08x = 547.89 × 344.54
  4. Step 4: Simplify right side
    397.08x = 188,767.28
  5. Step 5: Solve for x
    x = 188,767.28/397.08
  6. Step 6: Final answer
    x = 475.39

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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.