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Finding the Fourth Proportional to 619.08, 853.92 and 385.80

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Solution

The fourth proportional to 619.08, 853.92 and 385.80 is: 532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.08 : 853.92 = 385.80 : x
  2. Step 2: Convert to fraction form
    619.08/853.92 = 385.80/x
  3. Step 3: Cross multiply
    619.08x = 853.92 × 385.80
  4. Step 4: Simplify right side
    619.08x = 329,442.34
  5. Step 5: Solve for x
    x = 329,442.34/619.08
  6. Step 6: Final answer
    x = 532.15

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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.