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Finding the Fourth Proportional to 312.71, 467.24 and 230.09

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Solution

The fourth proportional to 312.71, 467.24 and 230.09 is: 343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 467.24 = 230.09 : x
  2. Step 2: Convert to fraction form
    312.71/467.24 = 230.09/x
  3. Step 3: Cross multiply
    312.71x = 467.24 × 230.09
  4. Step 4: Simplify right side
    312.71x = 107,503.76
  5. Step 5: Solve for x
    x = 107,503.76/312.71
  6. Step 6: Final answer
    x = 343.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.