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Finding the Fourth Proportional to 628.35, 940.75 and 319.55

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Solution

The fourth proportional to 628.35, 940.75 and 319.55 is: 478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.35 : 940.75 = 319.55 : x
  2. Step 2: Convert to fraction form
    628.35/940.75 = 319.55/x
  3. Step 3: Cross multiply
    628.35x = 940.75 × 319.55
  4. Step 4: Simplify right side
    628.35x = 300,616.66
  5. Step 5: Solve for x
    x = 300,616.66/628.35
  6. Step 6: Final answer
    x = 478.42

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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.