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Finding the Fourth Proportional to 418.20, 626.76 and 225.24

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Solution

The fourth proportional to 418.20, 626.76 and 225.24 is: 337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 626.76 = 225.24 : x
  2. Step 2: Convert to fraction form
    418.20/626.76 = 225.24/x
  3. Step 3: Cross multiply
    418.20x = 626.76 × 225.24
  4. Step 4: Simplify right side
    418.20x = 141,171.42
  5. Step 5: Solve for x
    x = 141,171.42/418.20
  6. Step 6: Final answer
    x = 337.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.