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Finding the Fourth Proportional to 314.27, 433.76 and 209.54

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Solution

The fourth proportional to 314.27, 433.76 and 209.54 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.27 : 433.76 = 209.54 : x
  2. Step 2: Convert to fraction form
    314.27/433.76 = 209.54/x
  3. Step 3: Cross multiply
    314.27x = 433.76 × 209.54
  4. Step 4: Simplify right side
    314.27x = 90,886.85
  5. Step 5: Solve for x
    x = 90,886.85/314.27
  6. Step 6: Final answer
    x = 289.20

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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.