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Finding the Fourth Proportional to 418.10, 626.23 and 349.14

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Solution

The fourth proportional to 418.10, 626.23 and 349.14 is: 522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.10 : 626.23 = 349.14 : x
  2. Step 2: Convert to fraction form
    418.10/626.23 = 349.14/x
  3. Step 3: Cross multiply
    418.10x = 626.23 × 349.14
  4. Step 4: Simplify right side
    418.10x = 218,644.73
  5. Step 5: Solve for x
    x = 218,644.73/418.10
  6. Step 6: Final answer
    x = 522.95

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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.