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Finding the Fourth Proportional to 509.70, 764.39 and 201.66

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Solution

The fourth proportional to 509.70, 764.39 and 201.66 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.70 : 764.39 = 201.66 : x
  2. Step 2: Convert to fraction form
    509.70/764.39 = 201.66/x
  3. Step 3: Cross multiply
    509.70x = 764.39 × 201.66
  4. Step 4: Simplify right side
    509.70x = 154,145.88
  5. Step 5: Solve for x
    x = 154,145.88/509.70
  6. Step 6: Final answer
    x = 302.42

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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.