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Finding the Fourth Proportional to 301.01, 450.83 and 209.78

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Solution

The fourth proportional to 301.01, 450.83 and 209.78 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.01 : 450.83 = 209.78 : x
  2. Step 2: Convert to fraction form
    301.01/450.83 = 209.78/x
  3. Step 3: Cross multiply
    301.01x = 450.83 × 209.78
  4. Step 4: Simplify right side
    301.01x = 94,571.81
  5. Step 5: Solve for x
    x = 94,571.81/301.01
  6. Step 6: Final answer
    x = 314.19

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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.