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Finding the Fourth Proportional to 509.26, 764.24 and 201.06

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Solution

The fourth proportional to 509.26, 764.24 and 201.06 is: 301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.26 : 764.24 = 201.06 : x
  2. Step 2: Convert to fraction form
    509.26/764.24 = 201.06/x
  3. Step 3: Cross multiply
    509.26x = 764.24 × 201.06
  4. Step 4: Simplify right side
    509.26x = 153,658.09
  5. Step 5: Solve for x
    x = 153,658.09/509.26
  6. Step 6: Final answer
    x = 301.73

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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.