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Finding the Fourth Proportional to 619.27, 928.92 and 208.42

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Solution

The fourth proportional to 619.27, 928.92 and 208.42 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.27 : 928.92 = 208.42 : x
  2. Step 2: Convert to fraction form
    619.27/928.92 = 208.42/x
  3. Step 3: Cross multiply
    619.27x = 928.92 × 208.42
  4. Step 4: Simplify right side
    619.27x = 193,599.82
  5. Step 5: Solve for x
    x = 193,599.82/619.27
  6. Step 6: Final answer
    x = 312.63

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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.