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Finding the Fourth Proportional to 483.50, 725.22 and 209.41

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Solution

The fourth proportional to 483.50, 725.22 and 209.41 is: 314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.50 : 725.22 = 209.41 : x
  2. Step 2: Convert to fraction form
    483.50/725.22 = 209.41/x
  3. Step 3: Cross multiply
    483.50x = 725.22 × 209.41
  4. Step 4: Simplify right side
    483.50x = 151,868.32
  5. Step 5: Solve for x
    x = 151,868.32/483.50
  6. Step 6: Final answer
    x = 314.10

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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.