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Finding the Fourth Proportional to 483.83, 726.17 and 252.89

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Solution

The fourth proportional to 483.83, 726.17 and 252.89 is: 379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.83 : 726.17 = 252.89 : x
  2. Step 2: Convert to fraction form
    483.83/726.17 = 252.89/x
  3. Step 3: Cross multiply
    483.83x = 726.17 × 252.89
  4. Step 4: Simplify right side
    483.83x = 183,636.24
  5. Step 5: Solve for x
    x = 183,636.24/483.83
  6. Step 6: Final answer
    x = 379.55

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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.