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Finding the Fourth Proportional to 619.26, 928.67 and 208.29

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Solution

The fourth proportional to 619.26, 928.67 and 208.29 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.26 : 928.67 = 208.29 : x
  2. Step 2: Convert to fraction form
    619.26/928.67 = 208.29/x
  3. Step 3: Cross multiply
    619.26x = 928.67 × 208.29
  4. Step 4: Simplify right side
    619.26x = 193,431.63
  5. Step 5: Solve for x
    x = 193,431.63/619.26
  6. Step 6: Final answer
    x = 312.36

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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.