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Finding the Fourth Proportional to 619.21, 854.50 and 339.44

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Solution

The fourth proportional to 619.21, 854.50 and 339.44 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.21 : 854.50 = 339.44 : x
  2. Step 2: Convert to fraction form
    619.21/854.50 = 339.44/x
  3. Step 3: Cross multiply
    619.21x = 854.50 × 339.44
  4. Step 4: Simplify right side
    619.21x = 290,051.80
  5. Step 5: Solve for x
    x = 290,051.80/619.21
  6. Step 6: Final answer
    x = 468.42

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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.