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Finding the Fourth Proportional to 418.38, 628.83 and 275.10

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Solution

The fourth proportional to 418.38, 628.83 and 275.10 is: 413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.38 : 628.83 = 275.10 : x
  2. Step 2: Convert to fraction form
    418.38/628.83 = 275.10/x
  3. Step 3: Cross multiply
    418.38x = 628.83 × 275.10
  4. Step 4: Simplify right side
    418.38x = 172,991.13
  5. Step 5: Solve for x
    x = 172,991.13/418.38
  6. Step 6: Final answer
    x = 413.48

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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.