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Finding the Fourth Proportional to 395.96, 546.34 and 230.09

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Solution

The fourth proportional to 395.96, 546.34 and 230.09 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.96 : 546.34 = 230.09 : x
  2. Step 2: Convert to fraction form
    395.96/546.34 = 230.09/x
  3. Step 3: Cross multiply
    395.96x = 546.34 × 230.09
  4. Step 4: Simplify right side
    395.96x = 125,704.64
  5. Step 5: Solve for x
    x = 125,704.64/395.96
  6. Step 6: Final answer
    x = 317.47

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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.