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Finding the Fourth Proportional to 418.65, 627.70 and 223.53

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Solution

The fourth proportional to 418.65, 627.70 and 223.53 is: 335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.65 : 627.70 = 223.53 : x
  2. Step 2: Convert to fraction form
    418.65/627.70 = 223.53/x
  3. Step 3: Cross multiply
    418.65x = 627.70 × 223.53
  4. Step 4: Simplify right side
    418.65x = 140,309.78
  5. Step 5: Solve for x
    x = 140,309.78/418.65
  6. Step 6: Final answer
    x = 335.15

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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.