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Finding the Fourth Proportional to 314.63, 434.27 and 209.90

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Solution

The fourth proportional to 314.63, 434.27 and 209.90 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.63 : 434.27 = 209.90 : x
  2. Step 2: Convert to fraction form
    314.63/434.27 = 209.90/x
  3. Step 3: Cross multiply
    314.63x = 434.27 × 209.90
  4. Step 4: Simplify right side
    314.63x = 91,151.63
  5. Step 5: Solve for x
    x = 91,151.63/314.63
  6. Step 6: Final answer
    x = 289.71

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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.