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Finding the Fourth Proportional to 619.42, 928.82 and 208.48

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Solution

The fourth proportional to 619.42, 928.82 and 208.48 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.42 : 928.82 = 208.48 : x
  2. Step 2: Convert to fraction form
    619.42/928.82 = 208.48/x
  3. Step 3: Cross multiply
    619.42x = 928.82 × 208.48
  4. Step 4: Simplify right side
    619.42x = 193,640.39
  5. Step 5: Solve for x
    x = 193,640.39/619.42
  6. Step 6: Final answer
    x = 312.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.