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Finding the Fourth Proportional to 395.84, 546.31 and 230.14

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Solution

The fourth proportional to 395.84, 546.31 and 230.14 is: 317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 546.31 = 230.14 : x
  2. Step 2: Convert to fraction form
    395.84/546.31 = 230.14/x
  3. Step 3: Cross multiply
    395.84x = 546.31 × 230.14
  4. Step 4: Simplify right side
    395.84x = 125,727.78
  5. Step 5: Solve for x
    x = 125,727.78/395.84
  6. Step 6: Final answer
    x = 317.62

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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.