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Finding the Fourth Proportional to 452.38, 678.59 and 163.74

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Solution

The fourth proportional to 452.38, 678.59 and 163.74 is: 245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.38 : 678.59 = 163.74 : x
  2. Step 2: Convert to fraction form
    452.38/678.59 = 163.74/x
  3. Step 3: Cross multiply
    452.38x = 678.59 × 163.74
  4. Step 4: Simplify right side
    452.38x = 111,112.33
  5. Step 5: Solve for x
    x = 111,112.33/452.38
  6. Step 6: Final answer
    x = 245.62

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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.