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Finding the Fourth Proportional to 619.34, 853.71 and 494.78

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Solution

The fourth proportional to 619.34, 853.71 and 494.78 is: 682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.34 : 853.71 = 494.78 : x
  2. Step 2: Convert to fraction form
    619.34/853.71 = 494.78/x
  3. Step 3: Cross multiply
    619.34x = 853.71 × 494.78
  4. Step 4: Simplify right side
    619.34x = 422,398.63
  5. Step 5: Solve for x
    x = 422,398.63/619.34
  6. Step 6: Final answer
    x = 682.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.