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Finding the Fourth Proportional to 423.29, 634.64 and 206.82

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Solution

The fourth proportional to 423.29, 634.64 and 206.82 is: 310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 634.64 = 206.82 : x
  2. Step 2: Convert to fraction form
    423.29/634.64 = 206.82/x
  3. Step 3: Cross multiply
    423.29x = 634.64 × 206.82
  4. Step 4: Simplify right side
    423.29x = 131,255.21
  5. Step 5: Solve for x
    x = 131,255.21/423.29
  6. Step 6: Final answer
    x = 310.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.