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Finding the Fourth Proportional to 298.44, 410.94 and 265.68

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Solution

The fourth proportional to 298.44, 410.94 and 265.68 is: 365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.44 : 410.94 = 265.68 : x
  2. Step 2: Convert to fraction form
    298.44/410.94 = 265.68/x
  3. Step 3: Cross multiply
    298.44x = 410.94 × 265.68
  4. Step 4: Simplify right side
    298.44x = 109,178.54
  5. Step 5: Solve for x
    x = 109,178.54/298.44
  6. Step 6: Final answer
    x = 365.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.