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Finding the Fourth Proportional to 488.43, 726.44 and 473.85

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Solution

The fourth proportional to 488.43, 726.44 and 473.85 is: 704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.43 : 726.44 = 473.85 : x
  2. Step 2: Convert to fraction form
    488.43/726.44 = 473.85/x
  3. Step 3: Cross multiply
    488.43x = 726.44 × 473.85
  4. Step 4: Simplify right side
    488.43x = 344,221.22
  5. Step 5: Solve for x
    x = 344,221.22/488.43
  6. Step 6: Final answer
    x = 704.75

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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.