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Finding the Fourth Proportional to 314.45, 433.65 and 226.97

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Solution

The fourth proportional to 314.45, 433.65 and 226.97 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.45 : 433.65 = 226.97 : x
  2. Step 2: Convert to fraction form
    314.45/433.65 = 226.97/x
  3. Step 3: Cross multiply
    314.45x = 433.65 × 226.97
  4. Step 4: Simplify right side
    314.45x = 98,425.85
  5. Step 5: Solve for x
    x = 98,425.85/314.45
  6. Step 6: Final answer
    x = 313.01

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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.