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Finding the Fourth Proportional to 483.88, 725.97 and 209.83

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Solution

The fourth proportional to 483.88, 725.97 and 209.83 is: 314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.88 : 725.97 = 209.83 : x
  2. Step 2: Convert to fraction form
    483.88/725.97 = 209.83/x
  3. Step 3: Cross multiply
    483.88x = 725.97 × 209.83
  4. Step 4: Simplify right side
    483.88x = 152,330.29
  5. Step 5: Solve for x
    x = 152,330.29/483.88
  6. Step 6: Final answer
    x = 314.81

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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.