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Finding the Fourth Proportional to 486.81, 726.44 and 434.88

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Solution

The fourth proportional to 486.81, 726.44 and 434.88 is: 648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.81 : 726.44 = 434.88 : x
  2. Step 2: Convert to fraction form
    486.81/726.44 = 434.88/x
  3. Step 3: Cross multiply
    486.81x = 726.44 × 434.88
  4. Step 4: Simplify right side
    486.81x = 315,912.05
  5. Step 5: Solve for x
    x = 315,912.05/486.81
  6. Step 6: Final answer
    x = 648.94

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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.