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Finding the Fourth Proportional to 619.75, 929.78 and 254.54

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Solution

The fourth proportional to 619.75, 929.78 and 254.54 is: 381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.75 : 929.78 = 254.54 : x
  2. Step 2: Convert to fraction form
    619.75/929.78 = 254.54/x
  3. Step 3: Cross multiply
    619.75x = 929.78 × 254.54
  4. Step 4: Simplify right side
    619.75x = 236,668.21
  5. Step 5: Solve for x
    x = 236,668.21/619.75
  6. Step 6: Final answer
    x = 381.88

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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.