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Finding the Fourth Proportional to 619.04, 853.24 and 463.52

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Solution

The fourth proportional to 619.04, 853.24 and 463.52 is: 638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.04 : 853.24 = 463.52 : x
  2. Step 2: Convert to fraction form
    619.04/853.24 = 463.52/x
  3. Step 3: Cross multiply
    619.04x = 853.24 × 463.52
  4. Step 4: Simplify right side
    619.04x = 395,493.80
  5. Step 5: Solve for x
    x = 395,493.80/619.04
  6. Step 6: Final answer
    x = 638.88

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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.