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Finding the Fourth Proportional to 418.66, 628.17 and 202.30

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Solution

The fourth proportional to 418.66, 628.17 and 202.30 is: 303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.66 : 628.17 = 202.30 : x
  2. Step 2: Convert to fraction form
    418.66/628.17 = 202.30/x
  3. Step 3: Cross multiply
    418.66x = 628.17 × 202.30
  4. Step 4: Simplify right side
    418.66x = 127,078.79
  5. Step 5: Solve for x
    x = 127,078.79/418.66
  6. Step 6: Final answer
    x = 303.54

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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.