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Finding the Fourth Proportional to 298.27, 445.82 and 275.23

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Solution

The fourth proportional to 298.27, 445.82 and 275.23 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.27 : 445.82 = 275.23 : x
  2. Step 2: Convert to fraction form
    298.27/445.82 = 275.23/x
  3. Step 3: Cross multiply
    298.27x = 445.82 × 275.23
  4. Step 4: Simplify right side
    298.27x = 122,703.04
  5. Step 5: Solve for x
    x = 122,703.04/298.27
  6. Step 6: Final answer
    x = 411.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.