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Finding the Fourth Proportional to 483.85, 726.38 and 461.79

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Solution

The fourth proportional to 483.85, 726.38 and 461.79 is: 693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.85 : 726.38 = 461.79 : x
  2. Step 2: Convert to fraction form
    483.85/726.38 = 461.79/x
  3. Step 3: Cross multiply
    483.85x = 726.38 × 461.79
  4. Step 4: Simplify right side
    483.85x = 335,435.02
  5. Step 5: Solve for x
    x = 335,435.02/483.85
  6. Step 6: Final answer
    x = 693.26

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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.