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Finding the Fourth Proportional to 397.14, 546.39 and 376.26

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Solution

The fourth proportional to 397.14, 546.39 and 376.26 is: 517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 546.39 = 376.26 : x
  2. Step 2: Convert to fraction form
    397.14/546.39 = 376.26/x
  3. Step 3: Cross multiply
    397.14x = 546.39 × 376.26
  4. Step 4: Simplify right side
    397.14x = 205,584.70
  5. Step 5: Solve for x
    x = 205,584.70/397.14
  6. Step 6: Final answer
    x = 517.66

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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.