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Finding the Fourth Proportional to 314.27, 433.09 and 229.96

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Solution

The fourth proportional to 314.27, 433.09 and 229.96 is: 316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.27 : 433.09 = 229.96 : x
  2. Step 2: Convert to fraction form
    314.27/433.09 = 229.96/x
  3. Step 3: Cross multiply
    314.27x = 433.09 × 229.96
  4. Step 4: Simplify right side
    314.27x = 99,593.38
  5. Step 5: Solve for x
    x = 99,593.38/314.27
  6. Step 6: Final answer
    x = 316.90

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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.