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Finding the Fourth Proportional to 423.39, 634.57 and 179.40

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Solution

The fourth proportional to 423.39, 634.57 and 179.40 is: 268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.39 : 634.57 = 179.40 : x
  2. Step 2: Convert to fraction form
    423.39/634.57 = 179.40/x
  3. Step 3: Cross multiply
    423.39x = 634.57 × 179.40
  4. Step 4: Simplify right side
    423.39x = 113,843.65
  5. Step 5: Solve for x
    x = 113,843.65/423.39
  6. Step 6: Final answer
    x = 268.89

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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.