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Finding the Fourth Proportional to 627.72, 941.38 and 319.92

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Solution

The fourth proportional to 627.72, 941.38 and 319.92 is: 479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.72 : 941.38 = 319.92 : x
  2. Step 2: Convert to fraction form
    627.72/941.38 = 319.92/x
  3. Step 3: Cross multiply
    627.72x = 941.38 × 319.92
  4. Step 4: Simplify right side
    627.72x = 301,166.29
  5. Step 5: Solve for x
    x = 301,166.29/627.72
  6. Step 6: Final answer
    x = 479.78

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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.