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Finding the Fourth Proportional to 418.69, 628.10 and 144.71

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Solution

The fourth proportional to 418.69, 628.10 and 144.71 is: 217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.69 : 628.10 = 144.71 : x
  2. Step 2: Convert to fraction form
    418.69/628.10 = 144.71/x
  3. Step 3: Cross multiply
    418.69x = 628.10 × 144.71
  4. Step 4: Simplify right side
    418.69x = 90,892.35
  5. Step 5: Solve for x
    x = 90,892.35/418.69
  6. Step 6: Final answer
    x = 217.09

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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.