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Finding the Fourth Proportional to 418.99, 628.38 and 327.46

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Solution

The fourth proportional to 418.99, 628.38 and 327.46 is: 491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.99 : 628.38 = 327.46 : x
  2. Step 2: Convert to fraction form
    418.99/628.38 = 327.46/x
  3. Step 3: Cross multiply
    418.99x = 628.38 × 327.46
  4. Step 4: Simplify right side
    418.99x = 205,769.31
  5. Step 5: Solve for x
    x = 205,769.31/418.99
  6. Step 6: Final answer
    x = 491.11

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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.