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Finding the Fourth Proportional to 483.92, 725.75 and 209.95

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Solution

The fourth proportional to 483.92, 725.75 and 209.95 is: 314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.92 : 725.75 = 209.95 : x
  2. Step 2: Convert to fraction form
    483.92/725.75 = 209.95/x
  3. Step 3: Cross multiply
    483.92x = 725.75 × 209.95
  4. Step 4: Simplify right side
    483.92x = 152,369.73
  5. Step 5: Solve for x
    x = 152,369.73/483.92
  6. Step 6: Final answer
    x = 314.87

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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.