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Finding the Fourth Proportional to 314.57, 433.96 and 209.79

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Solution

The fourth proportional to 314.57, 433.96 and 209.79 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.57 : 433.96 = 209.79 : x
  2. Step 2: Convert to fraction form
    314.57/433.96 = 209.79/x
  3. Step 3: Cross multiply
    314.57x = 433.96 × 209.79
  4. Step 4: Simplify right side
    314.57x = 91,039.94
  5. Step 5: Solve for x
    x = 91,039.94/314.57
  6. Step 6: Final answer
    x = 289.41

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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.