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Finding the Fourth Proportional to 483.81, 725.84 and 209.83

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Solution

The fourth proportional to 483.81, 725.84 and 209.83 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.81 : 725.84 = 209.83 : x
  2. Step 2: Convert to fraction form
    483.81/725.84 = 209.83/x
  3. Step 3: Cross multiply
    483.81x = 725.84 × 209.83
  4. Step 4: Simplify right side
    483.81x = 152,303.01
  5. Step 5: Solve for x
    x = 152,303.01/483.81
  6. Step 6: Final answer
    x = 314.80

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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.