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Finding the Fourth Proportional to 509.79, 764.84 and 201.79

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Solution

The fourth proportional to 509.79, 764.84 and 201.79 is: 302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.79 : 764.84 = 201.79 : x
  2. Step 2: Convert to fraction form
    509.79/764.84 = 201.79/x
  3. Step 3: Cross multiply
    509.79x = 764.84 × 201.79
  4. Step 4: Simplify right side
    509.79x = 154,338.52
  5. Step 5: Solve for x
    x = 154,338.52/509.79
  6. Step 6: Final answer
    x = 302.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.