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Finding the Fourth Proportional to 418.30, 626.94 and 302.11

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Solution

The fourth proportional to 418.30, 626.94 and 302.11 is: 452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.30 : 626.94 = 302.11 : x
  2. Step 2: Convert to fraction form
    418.30/626.94 = 302.11/x
  3. Step 3: Cross multiply
    418.30x = 626.94 × 302.11
  4. Step 4: Simplify right side
    418.30x = 189,406.80
  5. Step 5: Solve for x
    x = 189,406.80/418.30
  6. Step 6: Final answer
    x = 452.80

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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.