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Finding the Fourth Proportional to 408.15, 611.76 and 202.51

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Solution

The fourth proportional to 408.15, 611.76 and 202.51 is: 303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 611.76 = 202.51 : x
  2. Step 2: Convert to fraction form
    408.15/611.76 = 202.51/x
  3. Step 3: Cross multiply
    408.15x = 611.76 × 202.51
  4. Step 4: Simplify right side
    408.15x = 123,889.04
  5. Step 5: Solve for x
    x = 123,889.04/408.15
  6. Step 6: Final answer
    x = 303.54

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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.