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Finding the Fourth Proportional to 427.69, 641.28 and 193.33

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Solution

The fourth proportional to 427.69, 641.28 and 193.33 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.69 : 641.28 = 193.33 : x
  2. Step 2: Convert to fraction form
    427.69/641.28 = 193.33/x
  3. Step 3: Cross multiply
    427.69x = 641.28 × 193.33
  4. Step 4: Simplify right side
    427.69x = 123,980.19
  5. Step 5: Solve for x
    x = 123,980.19/427.69
  6. Step 6: Final answer
    x = 289.88

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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.