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Finding the Fourth Proportional to 423.39, 634.93 and 179.94

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Solution

The fourth proportional to 423.39, 634.93 and 179.94 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.39 : 634.93 = 179.94 : x
  2. Step 2: Convert to fraction form
    423.39/634.93 = 179.94/x
  3. Step 3: Cross multiply
    423.39x = 634.93 × 179.94
  4. Step 4: Simplify right side
    423.39x = 114,249.30
  5. Step 5: Solve for x
    x = 114,249.30/423.39
  6. Step 6: Final answer
    x = 269.84

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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.