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Finding the Fourth Proportional to 484.84, 726.87 and 265.33

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Solution

The fourth proportional to 484.84, 726.87 and 265.33 is: 397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 726.87 = 265.33 : x
  2. Step 2: Convert to fraction form
    484.84/726.87 = 265.33/x
  3. Step 3: Cross multiply
    484.84x = 726.87 × 265.33
  4. Step 4: Simplify right side
    484.84x = 192,856.78
  5. Step 5: Solve for x
    x = 192,856.78/484.84
  6. Step 6: Final answer
    x = 397.78

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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.